Question

1. y + 2 = 4(x + 5)

m = \frac{4}{1}, x=-5, y=-2 (-5,-2)

Explanation:

Step1: Identify the slope - intercept form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Given $y + 2=4(x + 5)$, we can rewrite it in slope - intercept form $y=mx + b$.

Step2: Expand the right - hand side

Expand $4(x + 5)$ to get $4x+20$. So the equation becomes $y+2 = 4x + 20$.

Step3: Isolate y

Subtract 2 from both sides of the equation: $y=4x+20 - 2$.

Step4: Simplify the equation

$y=4x + 18$.

Answer:

$y = 4x+18$