Write a linear equation in slope-intercept form with the given information.

passes through (-4,11) and (2,8)

We may determine the slope of the line using:

m = (y ₂ - y ₁) / (x ₂ - x ₁)

= (8-11) / (2 - (-4))

= - 3/6

m = - 1/2

Now, using the slope-intercept form:

y-y1 = m (x-x1)

y-11=-1/2 (x - (-4))

y-11=-1/2 (x+4)

y - 11 = - x/2 - 2

y = - x/2 + 9