Slope intercept form Calculator

Enter the values in the below calculator. Hit the Calculate button to get the slope intercept form of a line using y=mx+b equation.

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Slope intercept form calculator is an online tool that is used to find slope intercept form (equation of line) using two points, y-intercept, or one point and slope.

What is slope intercept form?

Slope intercept is a form of linear equation that can be used to find the equation of a straight line with y intercept and slope of line.

src=https://www.allmath.com/images/blog/2021/08/1629697095line-graph-png.png

Slope intercept formula

The slope intercept equation can be represented as:

y = mx + b

Where,

  • x, y represents the x and y coordinates,
  • m is slope of line, and
  • b is y intercept.

The equation of slope intercept varies in USA and UK. In UK, variable c is used to represent y-intercept.

 y = mx + c

How to find the slope intercept form (equation of a straight line)?

To find equation of a straight line with slope and y-intercept, follow the example below.

Example:

Find the Straight line equation if y-intercept is 6 and slope is 4.

Solution:

Step 1: Identify the values.

b = 6

m = 4

Step 2: Write the slope form equation and place the values.

y = mx + b

y = 4x + 6

src=https://www.allmath.com/images/blog/2021/08/1629697105y-intercept-png.png

If you need to calculate the slope using two points, use slope calculator.

Examples of Slope Intercept form

QuestionsResults
Points of line: (3, -4) (12, 6)

Answer

y = 1.11x - 7.33

Step-by-step solution:

Step 1: Solve for slope "m".

m = (y- y1)/(x- x1)

m = (6 - (-4))/(12 - 3) = 10/9

m = 1.11

Step 2: Solve for y-intercept "b".

y = mx + b

6 = 1.11(12) + b

b = -7.33

Step 3: Slope intercept form

y = 1.11x + (-7.33)

y =1.11x - 7.33

slope = 15 and point = (6, -12)

Answer

y = 15x - 102

Step-by-step solution:

Step 1: Solve to find "b".

y = mx + b

-12 = 15(6) + b

b = -102

Step 2: Slope intercept form.

y = mx + b

y = 15x + (-102)

y = 15x - 102

Slope = m = 9

y-intercept form = 6

Answer

y = 9x + 6

Step-by-step solution:

substitute slope and y-intercept form to the general equation of slope intercept form to calculate it.

y = mx + b

y = 9x + 6

Coordinate point:

(-3, 12) and (6.-8)

Answer

y = -2.22x +5.34

Step-by-step solution:

Step 1: Solve for slope "m".

m = (y2 - y1)/(x2 - x1)

m = (-8 - 12))/(6 - (-3)) = -20/9

m = -2.22

Step 2: Solve for y-intercept "b".

y = mx + b

-8 = -2.22(6) + b

b = 5.34

Step 3: Slope intercept form

y = -2.22x + 5.34

References

  1. Khan Academy. (n.d.). Intro to slope-intercept form (Y=mx+b) | algebra (video). Retrieved january 4, 2020 from Khan Academy.
  2. Alamo.edu. (2020). Slope Intercept Formula. Retrieved 4 january 2020.
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