### How do you find the slope and y intercept of 2x 3y 6?

1 Answer

- the equation of a line in slope-intercept form is.
- ∙y=mx+b.
- where m is the slope and b the y-intercept.
- rearrange 2x+3y=6 into this form.
- subtract 2x from both sides.
- ⇒3y=−2x+6.
- divide all terms by 3.
- with slope =−23 and y-intercept =2.

### What is the Y intercept of 2x 3y 6?

The y-intercept is y=2 .

### What is the slope of the equation 2x 3y?

2/3

### What is the slope of 3y 2x 5?

Divide y y by 1 1 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 23 .

### What is the slope for 2x?

Explanation: The slope-intercept form is y=mx+b where m is the slope value. In the equation y=2x , the m value is 2 . Therefore, 2 is the slope.

### What is the slope of 2x 7?

Using the slope-intercept form, the slope is 2 .

### What is the slope of parabola?

The slope of a straight line measures a rate of change. When we try to speak of the slope (or rate of change) for a quadratic function (a parabola), we have to speak of the average rate of change (the slope of the segment connecting two points on the parabola).

### What is the slope in linear equations?

In the equation of a straight line (when the equation is written as &#;y = mx + b&#;), the slope is the number &#;m&#; that is multiplied on the x, and &#;b&#; is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the &#;slope-intercept form&#;.

### How do you work out a quadratic equation from a graph?

How to Find a Quadratic Equation from a Graph:

- Step 1: Identify Points.
- Step 2: Sub Points Into Vertex Form and Solve for &#;a&#;
- Step 3: Write Out Quadratic Equation.
- Step 1: Identify Points.
- Step 2: Sub Points Into Vertex Form and Solve for &#;a&#;
- Step 3: Write Out Quadratic Equation.

### What is a quadratic equation graph?

The graph of a quadratic function is a parabola whose axis of symmetry is parallel to the y -axis. The coefficients a,b, and c in the equation y=ax2+bx+c y = a x 2 + b x + c control various facets of what the parabola looks like when graphed.

Alex SmithMath

Sours: https://rehabilitationrobotics.net/how-do-you-find-the-slope-and-y-intercept-of-2x-3y-6/Here we will show you how to calculate and provide solutions to math problems related to 2x + 3y = 6.

We will start by calculating and showing you the solution for the x-intercept and y-intercept of 2x + 3y = 6.

Then, we will show you how to get the graph plot coordinates for 2x + 3y = 6 so we can illustrate it on a graph.

Finally, we will solve 2x + 3y = 6 for x and also for y, then calculate and show you the solution for the slope of 2x + 3y = 6.

**Find x-intercept**

The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y

_{1}=0 and then solve for x.

2x + 3y = 6

2x + 3(0) = 6

**x**

_{1}= 3**y**

_{1}= 0**Find y-intercept**

The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x

_{2}=0 and then solve for y.

2x + 3y = 6

2(0) + 3y = 6

**y**

_{2}= 2**x**

_{2}= 0**Get Graph Plot Coordinates**

Getting two graph points will allow you to make a straight line on a graph. The plot coordinate format is (x

_{1},y

_{1}) and (x

_{2},y

_{2}).

Thus, we use the x-intercept and y-intercept results above to get the graph plots for 2x + 3y = 6 as follows:

(x

_{1},y

_{1}) and (x

_{2},y

_{2})

**(3,0)**and

**(0,2)**

**Solve for x**

To solve for x, we solve the equation so the variable x is by itself on the left side:

2x + 3y = 6

**x = 3 - y**

**Solve for y**

To solve for y, we solve the equation so the variable y is by itself on the left side:

2x + 3y = 6

**y = 2 - x**

**Find slope**

The slope of the line (m) is the steepness of the line. It is the change in the y coordinate divided by the corresponding change in the x coordinate. Simply plug in the coordinates from above and solve for m to get the slope for 2x + 3y = 6

m = (y

_{2}- y

_{1})/(x

_{2}- x

_{1})

m = (2 - 0)/(0 - 3)

**m =**

**Ax + By = C Calculator**

Now you know how to solve 2x + 3y = 6. Enter another math problem here:

**2x + 3y = 7**

Here is the next algebra problem on our list. Check it out!

Answers are rounded to the nearest thousandth if necessary. If you want exact answers instead of rounded answers, then keep the fraction answers when you solve the equations instead of converting them to decimal numbers like we did.

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### What line is perpendicular to 2x 3y 6?

Now the line which is perpendicular to the given line will have the slope M=-1/m ,because the product of their slope must be equal to( -1). Thus we get the slope of the line perpendicular to 2x+3y=6 as M=3/2.

### What is the equation of the line perpendicular to 2x 3y 13?

2x &#; 3y = 13, when solved for -3y, results in -3y = -2x + Then y = (2/3)x + C. Any line perpendicular to this y = (2/3)x + C has the slope which is the negative reciprocal of (2/3); that slope is -3/2.

### How do you find parallel lines?

Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.

### What is the equation of a line perpendicular to Y =- 3x 4 that passes through (- 1 6?

We can write this in the form y=−13x+b and then plug in (3,5) for x and y to find the equation of the line perpendicular to the line y=3x+4 that goes through the point (3,5) . Therefore, the equation of our new line is: y=−13x+6 .

### What is the equation of a line that is perpendicular to Y 4x 5?

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 4 4 . The equation of a perpendicular line to y=4x−5 y = 4 x &#; 5 must have a slope that is the negative reciprocal of the original slope.

### How do I find the slope of the line?

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

### What is the slope for a line that is perpendicular to the line y 4x 8?

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 4 4 . The equation of a perpendicular line to y=4x−8 y = 4 x &#; 8 must have a slope that is the negative reciprocal of the original slope.

### Which equation represents the line that passes through?

The slope intercept equation of the line that passes through the coordinates (x1,y1) ( x 1 , y 1 ) and has a slope of m is expressed as y=mx+c y = m x + c , where c is a constant. The point slope equation of a line is (y−y1)=m(x−x1) ( y − y 1 ) = m ( x − x 1 ) .

### What is an equation of the line that passes through the point 2 4 and is perpendicular?

The line perpendicular to this will have the slope 7/8 because perpendicular lines have opposite reciprocal slopes (change the sign, flip the fraction). The line that has a slope of 7/8 and passes through the point (2,4) can be found by substituting the slope (7/8) and the point (2,4) in the equation y = mx + b.

### How do you write an equation that passes through a point?

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

### What is a perpendicular line?

In elementary geometry, the property of being perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees). The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle.

## Slope 2x 3y 6

### What is the equation of the line perpendicular to 2x 3y 6?

What line is perpendicular to the line 2x + 3y = 6 through (4, 1)? Explanation: The given equation is in standard form, so it must be converted to slope-intercept form: y = mx + b to discover the slope is –2/3. To be perpendicular the new slope must be 3/2 (opposite reciprocal of the old slope).

### What is the Y-intercept of 2x 3y 6?

The y-intercept is y=2 .

### Which is the standard form of Y 2x 8?

To fix this we simply and or subtract the x term on both sides of the equation and/or multiply by For this problem in particular we have y=-2x+8, in order to put it in standard form we add 2x to both sides of the equation, doing so gives us 2x+y=8.

### What is the slope to 2x 3y 6?

Thus we get the slope of the line perpendicular to 2x+3y=6 as M=3/2.

### What are the slope and y-intercept of the line 2x 3y 6?

1 Answer. Lizzy P. The slope is the number attached to x and the y-intercept is your &#;b&#; term in the equation y=mx+b. So, the slope would equal 23 and the y-intercept would be −2 .

### What is the slope of the line 2x 3y?

2/3

### What is the Y-intercept of the line whose equation is y 1 2x 3?

The y-intercept of the equation y = 1/2x &#; 3 is (0,-3).

### What is the slope of 2x 3?

Using the slope-intercept form, the slope is 2 .

### What form is y 2x 3?

y = –2x + 3 The equation is in slope-intercept form. m = –2 b = 3 The slope of the line 2x + y = 3 is –2, and the y-intercept is 3.

### What point on the line y 2x − 5 is closest to the origin?

() is the closest point, √22+1=√5 from the origin.

### What point on the line y 2x 4 is closest to the origin?

From a very geometric point of view, the point on the line ℓ defined by y=2x+4 that is closest to the origin is the point of intersection of ℓ and a line perpendicular to ℓ through the origin.

### What point is closest to the origin?

Identifying the Point Closest to the Origin No matter what the orientation of a plane, there will always be one point located closer to the origin than any other point on the plane. This means that the position vector for this point is shorter than any other point in the plane.

### Which point on the parabola y x2 is nearest to?

Answer Expert Verified y = x² is a parabola , Let ( t , t²) is a point on the parabola which is closest to the point ( 57, 0) .

### Which point of the parabola y x2 is nearest to the point 3 0?

Closest Point on y=x2 to P(3,0) Pico is on the parabaloa dtermined by y=x2 and notices a UFO and some ancient astronauts(extraterrestrials) located at the point P(3,0) in the xy-plane.

### What point on the parabola 2 is closest to the point 1/4 )?

Let A(x,y) be the required point which is closest to the point B(1,4). Then the distance AB should be minimum. And, therefore AB2 should be minimum. So, y=2 is a point of minimum.

### Which point is closest to the epicenter?

The point within the earth where the actual movement takes place is called the focus. As shown in Figure 1, the point on the surface directly above the focus is called the epicenter&#;.

Recording Station | Albuquerque |
---|---|

P-wave arrival time | MST |

S-wave arrival time | MST |

Lag time? | seconds |

### How do you find the shortest distance from a point to a curve?

3 Answers. So the distance is minimized at x=−, and to find the minimum distance, simply evaluate D when x=− Since distance is positive and the square root function is increasing, it suffices to find the smallest value the squared distance between (x,y) on the curve and the point (2,0) can take.

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