Answer:
[tex]y=\frac{1}{2} x-40[/tex]
Step-by-step explanation:
Slope interccept form: y=mx+b
(m= the slope, b= the y-intercept (the y value when x=0))
for every 2 x-values the y-value increases by 1. Slope is written as [tex]\frac{rise}{run}[/tex] or [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2}}[/tex] which is the change in the y-values divided by the change in x-values. You can find the slope by plugging in points.
[tex]\frac{(-42)-(-41)}{(-2)-(-4)} =\frac{1}{2\\}[/tex] so now you have [tex]y=\frac{1}{2}x+b[/tex]
b is whatever the value of y is when x=0. According to the table when x=0 then y=-40. The final equation is [tex]y=\frac{1}{2} x-40[/tex]
