Question

1. find the slope of the line represented by the equation below.

y - 4x = -2

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Rewrite the given equation

We are given the equation $y - 4x=-2$. To get it into slope - intercept form, we solve for $y$.
Add $4x$ to both sides of the equation:
$y-4x + 4x=-2 + 4x$
Simplifying the left - hand side (the $-4x$ and $+4x$ cancel out) and rearranging the right - hand side, we get $y = 4x-2$.
Comparing $y = 4x-2$ with $y=mx + b$, we see that $m = 4$. So the slope of the line is 4.

Answer:

4