Question

1. write an equation of a line with the given slope and y-intercept.

$m = -5, b = -7$
$\bigcirc$ $y = 5x - 7$
$\bigcirc$ $y = -5x - 7$
$\bigcirc$ $y = -7x - 5$
$\bigcirc$ $y = -5x + 7$

Explanation:

Step1: Recall the 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: Substitute the given values

We are given that $m=-5$ and $b = - 7$. Substituting these values into the slope - intercept form $y=mx + b$, we get $y=-5x+(-7)$, which simplifies to $y=-5x - 7$.

Answer:

B. $y = - 5x-7$ (assuming the second option is labeled as B, if the original options have labels like A, B, C, D, we use the correct label with the equation. Here we assume the second option is B as per the order: first option $y = 5x-7$, second $y=-5x - 7$, third $y=-7x - 5$, fourth $y=-5x + 7$)