Show your work, this is a homework and I am force to show work. A line passes through the points (-1/2,1) and has a slope of 2.

Write in slope intercept-form, how do you know.

The line also passes through the point (-8,k). Find the value of K

x2, y2)

To find slope, m, given two points, (-1, 2) and (3, 4)

m = (y2 - y1)/(x2 - x1)

Once you have the slope (did you get 1/2?), you're ready to find the y-intercept. Use the slope-intercept equation of a line and either point.  I'd choose point #2 since they are positive numbers, but it doesn't matter which point you use.

y = mx + b  <-- use x2 = 4 and y2 = 3

3 = 1/2(4) + b  <-- solve for b

3 = 2 + b

1 = b

Rewrite the slope-intercept equation of a line replacing m = 1/2 and b = 1.

y = mx + b