Complete the equation of the line through (-8,8) and (1,-10). Use exact numbers.

Since you know the x and y values, you just have to plug these into the linear slope-intercept equation:

y = mx + b

-10 = m (1) + b

m + b = - 10

b = - 10 - m

Now that we have a value for b, we can plug this into the other equation:

8 = m (-8) + b

8 = - 8m + (-10 - m)

8 = - 9m - 10

18 = - 9m

m = - 2

Now that we know what m is equal to, we can plug this into our first equation to get an answer for b:

b = - 10 - m

b = - 10 - (-2)

b = - 10 + 2

b = - 8

Our final equation is y = - 2x - 8