Use the slope intercept form to graph the equation calculator

Find the slope intercept equation of a line (y=mx+b or y=mx+c) from two points with this slope intercept form calculator.

Slope Intercept Form Equation: y = mx + b, or sometimes y = mx + c,

m = slope (the amount of rise over run of the line)
b= y-axis intercept ( where the line crosses over the y-axis)

To calculate the slope intercept form equation from two coordinates
(x1,y1) and (x2,y2):

Step 1: Calculate the slope (y2 - y1) / (x2 - x1)

Step 2: Calculate where the line intersects with the y-axis by
entering one of the coordinates into this equation: y - mx = b

Example:

To calculate the slope-intercept equation for a line that includes
the two points ( 7, 4) and (1, 1).

Step 1: slope (m) = (1 - 4) / (1 - 7) = -3 / -6

slope (m) = -3/-6 = 1/2

Step 2: Using one of the original coordinates (7, 4) we find the
y-axis intercept (b) using the formula: y - mx = b

y=4, m=1/2, x =7

y - mx = b

b= .5

The slope intercept form for this line is y = .5x + .5

This line crosses the y-axis at .5 and has a slope of .5,
so this line rises one unit along the y-axis for every 2 units
it moves along the x-axis.

So, where would you ever use this? Here's an article on ways to use the Slope Intercept Form in Real Life.

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Number Line

The general formula for slope-intercept form is , where represents the slope of the line, and represents the -value of the line’s -intercept.

The slope-intercept form of a linear equation makes it easier for us to identify how steep a line is and where it crosses the -axis.

✨ Drag the points on the graph to see how they affect the equation of the line! ✨

When we're given , we first need to find the slope. Then, we can use the slope and one of the given points to solve for the -value of the -intercept and write the equation in slope-intercept form.

What is Standard Form?

The general formula for the standard form of a linear equation is , where , , and are all integers.

We can go from standard form to slope-intercept form by isolating and simplifying:

What is Point-Slope Form?

The general formula for the point-slope form of a linear equation is , where represents the slope of a line that contains the point (, ).

We can go from point-slope form to slope-intercept form by isolating and simplifying:

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What is an equation of the line in slope