Question

find the slope and the y-intercept of the line.
7x - y = -5
write your answers in simplest form.
slope:

y -intercept:

Explanation:

Step1: Rewrite in slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.
We start with the equation $7x - y=-5$.
To solve for $y$, we add $y$ to both sides: $7x=-5 + y$.
Then we add 5 to both sides: $y = 7x+5$.

Step2: Identify slope and y - intercept

From the equation $y = 7x + 5$, comparing with $y=mx + b$, we can see that the coefficient of $x$ (the slope $m$) is 7, and the $y$-intercept $b$ is 5.

Answer:

slope: $7$
$y$-intercept: $5$