Question

y = mx + b
slope intercept 95 - 96

1. slope = 2 (-2, 2)

Explanation:

Step1: Recall point - slope formula

The point - slope form of a linear equation is $y - y_1=m(x - x_1)$, where $m$ is the slope and $(x_1,y_1)$ is a point on the line. Here, $m = 2$, $x_1=-2$, and $y_1 = 2$.

Step2: Substitute values into point - slope formula

Substitute the values into the formula: $y - 2=2(x - (-2))$. Simplify the right - hand side: $y - 2=2(x + 2)$.

Step3: Convert to slope - intercept form ($y=mx + b$)

Expand the right - hand side: $y - 2=2x+4$. Then, add 2 to both sides of the equation: $y=2x + 4+2$, so $y=2x+6$.

Answer:

The equation of the line in slope - intercept form is $y = 2x+6$