Answer:
y - 7 = -5(x + 2)
a = -1
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