Convert the equation in point-slope form to slope-intercept form:y - 2 = 3(x - 1)

Question

Convert the equation in point-slope form to slope-intercept form:
`y - 2 = 3(x - 1)`

Answer 1

The Slope-Intercept form of the equation of a line is:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

In this case you have this equation of the line in Point-Slope form:

`y-2=3\mleft(x-1\mright)`

Then, in order to write it in Slope-Intercept form, you must solve for the variable "y". So you get:

`\begin{gathered} y-2=(3)(x)-(1)(3) \\ y-2=3x-3 \\ y=3x-3+2 \\ y=3x-1 \end{gathered}`

The answer is:

`y=3x-1`