Question

write the equation of the line using the given slope and pointm=4 (2,6)

Answer 1

$y=4x-2$

1) We can write the equation of the line, using this point (2,6) and the slope m=4.

2) So, let's plug into the slope-intercept form the point and the slope to find the y-intercept

$\begin{gathered} y=mx+b \\ 6=4(2)+b \\ 6=8+b \\ 6-8=b \\ b=-2 \end{gathered}$

3) Thus, we can write out the following equation:

$y=4x-2$