Find x so that AB has slope m when the following values are given. (b)A is (x, −1), B is (5, 7), and m = −0.5

Question

Find x so that AB has slope m when the following values are given.

(b)A is (x, −1), B is (5, 7), and m = −0.5

Answer 1

Remember the formula for finding the slope between two given points

y₂ - y₁ / x₂ - x₁ = m

Plugging in the values given by the problem,

7 - (-1) / 5 - x = -0.5

Now simplify and solve for x

7 - (-1) / 5 - x = -1/2

8 / 5 - x = -1/2

8 = -(5 - x) / 2

16 = -5 + x

21 = x