Question

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

1. slope = $-\frac{7}{8}$ ; $y$-intercept = $-3$ 2) slope = 10 ; $y$-intercept = 8

1. slope = $-\frac{1}{2}$ ; $y$-intercept = $\frac{5}{2}$ 4) slope = 5 ; $y$-intercept = $-\frac{4}{3}$

Explanation:

Problem 1

Step1: Recall 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.

Step2: Substitute values

Given $m=-\frac{7}{8}$ and $b = - 3$. Substitute these values into the slope - intercept form:
$y=-\frac{7}{8}x-3$

Step1: Recall 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.

Step2: Substitute values

Given $m = 10$ and $b=8$. Substitute these values into the slope - intercept form:
$y = 10x+8$

Step1: Recall 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.

Step2: Substitute values

Given $m=-\frac{1}{2}$ and $b=\frac{5}{2}$. Substitute these values into the slope - intercept form:
$y=-\frac{1}{2}x+\frac{5}{2}$

Answer:

$y =-\frac{7}{8}x - 3$

Problem 2