A line passes through the point (-2,7) and has a slope of -5

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                            y - y₁ = m(x - x₁)

m = -5

(-2, 7)    ⇒   x₁ = -2,  y₁ = 7

y - 7 = -5(x - (-2))

y - 7 = -5(x + 2)            

(a, 2)   ⇒   2 - 7 = -5(a + 2)

                   -5 = -5a - 10

                   5a = 5 - 10

                     5a = -5

                       a = -1