Answer:
C.) y + 5 = 7(x - 9)
Step-by-step explanation:
Parallel lines have the same slope.
The slope-intercept form of an equation of a line:
y = mx + b
m - slope
b - y-intercept
The point-slope form of an equation of a line:
y - y₁ = m(x - x₁)
(x₁, y₁) - point on a line
m - slope
We have the line y - 9 = 7(x + 5). The slope m = 7.
A) y - 9 = 3x + 4 → m = 3
B) y = -9x - 5 → m = -9
C) y + 5 = 7(x - 9) → m = 7
D) y - 9 = 5(x + 4) → m = 5
The line C) y + 5 = 7(x - 9) has the same slope.
