Step 1
Use to calculate the equation of the line, where represents the slope and represents the y-intercept.
To calculate the equation of the line, use the format.
Step 2
Slope is equal to the change in over the change in , or rise over run.
Step 3
The change in is equal to the difference in x-coordinates (also called run), and the change in is equal to the difference in y-coordinates (also called rise).
Step 4
Substitute in the values of and into the equation to find the slope.
Step 5
Simplify the denominator.
Move the negative in front of the fraction.
Step 6
Find the value of using the formula for the equation of a line.
Use the formula for the equation of a line to find .
Substitute the value of into the equation.
Substitute the value of into the equation.
Substitute the value of into the equation.
Rewrite the equation as .
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
To write as a fraction with a common denominator, multiply by .
Combine the numerators over the common denominator.
Step 7
Now that the values of (slope) and (y-intercept) are known, substitute them into to find the equation of the line.
Rewrite in slope-intercept form.
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The slope-intercept form is , where is the slope and is the y-intercept.
Subtract from both sides of the equation.
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify the right side.
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Move the negative in front of the fraction.
Rewrite in slope-intercept form.
Point Slope Calculator
Step-by-Step Examples
Algebra
Point Slope Calculator
Step 1:
Enter the point and slope that you want to find the equation for into the editor.
The equation point slope calculator will find an equation in either slope intercept form or point slope form when given a point and a slope. The calculator also has the ability to provide step by step solutions.
Step 2:
Click the blue arrow to submit.
Algebra Examples
Write in Standard Form (-3,5) , (4,6)
Step 1
Find the slope of the line between and using , which is the change of over the change of .
Slope is equal to the change in over the change in , or rise over run.
The change in is equal to the difference in x-coordinates (also called run), and the change in is equal to the difference in y-coordinates (also called rise).
Substitute in the values of and into the equation to find the slope.
Simplify the denominator.
Step 2
Use the slope and a given point to substitute for and in the point-slope form , which is derived from the slope equation .
Step 3
Simplify the equation and keep it in point-slope form.
Step 4
Write the equation in standard form.
The standard form of a linear equation is .
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Cancel the common factor of .
Cancel the common factor.
Cancel the common factor of .
Cancel the common factor.
Move all terms containing variables to the left side of the equation.
Subtract from both sides of the equation.
Move all terms not containing a variable to the right side of the equation.
Subtract from both sides of the equation.