How to convert from point slope form to slope intercept form

Question

asked Mar 19, 2021 149k views

1 Answer

Christian Droulers · Answer 1 · 2021-03-25T07:28:03+0000

Answer:

y=mx+(y_1-mx_1), b=y_1-mx_1

Explanation:

The point slope form of the equation of a line is given as:

y-y_1=m(x-x_1)

The slope-intercept form of the equation of a line is given as:

y=mx+b

where: m=slope, b=y-intercept.

To convert from the point slope form to slope intercept form, follow these steps:

Step 1: Distribute the right hand side

$y-y_1=m(x-x_1)\\y-y_1=mx-mx_1$

Step 2: Isolate the y variable

$y=mx-mx_1+y_1\\y=mx+(y_1-mx_1)$

This is the slope-intercept form. We can evaluate
y_1-mx_1 $ given values for $(x_1,y_1)$ and slope, m