Point-slope form:
y - y₁ = m(x - x₁) "m" is the slope
You know:
m = -7
(-4 , -5) = (x₁ , y₁)
Plug these into the equation:
y - y₁ = m(x - x₁)
y - (-5) = -7(x - (-4))
y + 5 = -7(x + 4)
Slope-intercept form:
y = mx + b "m" is the slope, "b" is the y-intercept (the y value when x = 0)
You can solve this two ways:
#1: Since you know m = -7, plug it into the equation
y = mx + b
y = -7x + b
To find "b", plug in the point (-4, -5) into the equation
y = -7x + b
-5 = -7(-4) + b
-5 = 28 + b Subtract 28 on both sides
-33 = b
y = -7x - 33
#2: Use the point-slope form and change it to slope-intercept form by isolating/getting "y" by itself.
y + 5 = -7(x + 4) First distribute/multiply -7 into (x + 4)
y + 5 = -7x - 28 Subtract 5 on both sides
y = -7x - 33