Question

How to convert from point slope form to slope intercept form

Answer 1

`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`