Answer:
y = -3x - 13
Explanation:
The equation of the line in slope intercept form: y = mx + b
If the line: y = mx + b passes through point (x₁, y₁) that means the equation:
y₁ = mx₁ + b is true
b = -3
(-5, 2) ⇒ x₁ = -5, y₁ = 2
Therefore:
2 = -3(-5) + b
2 = 15 + b
b = -13
So, the equation of the line in slope intercept form that has a y-intercept of -3 and passes through (-5, 2):
y = -3x - 13