Question

what is the slope intercept form of the line passing through the point (2,1) and having a slope of 4?

Answer 1

The equation of a line has the form:

`y=mx+b`

if the slope is equal to 4 then we know that: m = 4 and now we can replace the slope and the coordinate ( 2,1 ) to find b so:

`\begin{gathered} 1=4(2)+b \\ 1-8=b \\ -7=b \end{gathered}`

So the final equation will be:

`y=4x-7`