Question

Question 1Which equation represents the line that passes through the point (4,-2)AP) with a slope of1/2

Answer 1

The point-slop form of the line equation is

$y-b=m(x-a)$

In this case m=1/2, a=4 and b=-2.

$\begin{gathered} y-(-2)=\frac{1}{2}(x-4) \\ y+2=\frac{1}{2}x-2 \\ y=\frac{1}{2}x-4 \end{gathered}$

You can also writ the equation in the next form

$x-2y-4=0$