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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.
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.
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
If you need to calculate the slope using two points, use slope calculator.
Examples of Slope Intercept form
| Questions | Results |
| Points of line: (3, -4) (12, 6) | Answer y = 1.11x - 7.33 Step-by-step solution: Step 1: Solve for slope "m". m = (y2 - y1)/(x2 - 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
- Khan Academy. (n.d.). Intro to slope-intercept form (Y=mx+b) | algebra (video). Retrieved january 4, 2020 from Khan Academy.
- Alamo.edu. (2020). Slope Intercept Formula. Retrieved 4 january 2020.