Question

Given slope, m and y-intercept (0, b), derive the slope-intercept form of a line.

Answer 1

we have the slope-point form

we have the slope m and one point (0,b), if we clear y we will obtain the slope-intercept form

`\begin{gathered} y-b=m(x-0) \\ y-b=mx \\ y=mx+b \end{gathered}`

so we obtain the slope-intercept form of the line that is

`y=mx+b`