What is the equation of the line that passes through the point (-4,4)(−4,4) and has a slope of -3−3?

Step-by-step explanation:

The equation of the line that passes through the point (x₁, y₁) and has a slope of m in point-slope form is: y - y₁ = m(x - x₁)

m = -3

(-4, 4)   ⇒   x₁ = -4,  y₁ = 4

Therefore:

y - 4 = -3(x - (-4))

y - 4 = -3(x + 4)    ← point-slope form

y - 4 = -3x - 12   {add 4 t both sides}

y = -3x - 8      ←  slope intercept form