Question

a line has a slope of 2 and passes through the point (-4, -8). write its equation in slope-intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Recall point - slope form

The point - slope form of a line 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, $m = 2$, $x_1=-4$, and $y_1 = - 8$.
Substitute these values into the point - slope form: $y-(-8)=2(x - (-4))$.
Simplify the equation: $y + 8=2(x + 4)$.

Step2: Convert to slope - intercept form

Slope - intercept form is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept.
Expand the right - hand side of the equation from Step 1: $y + 8=2x+8$.
Subtract 8 from both sides of the equation: $y=2x+8 - 8$.

Step3: Simplify the equation

Simplify the right - hand side: $y = 2x+0$, so $y=2x$.

Answer:

$y = 2x$