Answer
$y=\dfrac{1}{2}x+7$ (see graph)
Work Step by Step
We are given the points:
$(-6,4),(4,9)$
Determine the slope of the line:
$m=\dfrac{9-4}{4-(-6)}=\dfrac{5}{10}=\dfrac{1}{2}$
Determine the equation for the line using the slope and one of the points:
$y-9=\dfrac{1}{2}(x-4)$
$y=\dfrac{1}{2}x-2+9$
$y=\dfrac{1}{2}x+7$
Use the two points to graph the function:
