QuestionFind the slope-intercept form of the line through $(-8,-1)$ with slope $-\frac{3}{2}$ .

Studdy Solution

STEP 1

Assumptions1. The line passes through the point $(-8,-1)$ . . The slope of the line is $-\frac{3}{}$ .
3. We need to find the equation of the line in slope-intercept form, which is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.

STEP 2

First, we can substitute the given slope and the coordinates of the point into the slope-intercept form of the line equation.
$y = mx + b$ Substitute $m = -\frac{}{2}$ , $x = -8$ , and $y = -1$ $-1 = -\frac{}{2} \cdot -8 + b$

STEP 3

Next, we simplify the right side of the equation.
$-1 =12 + b$

STEP 4

To find the y-intercept $b$ , we subtract12 from both sides of the equation.
$-1 -12 = b$

STEP 5

Calculate the value of $b$ .
$b = -1 -12 = -13$

STEP 6

Now that we have the slope $m$ and the y-intercept $b$ , we can write the equation of the line in slope-intercept form.
$y = mx + b$ Substitute $m = -\frac{3}{2}$ and $b = -13$ $y = -\frac{3}{2}x -13$ The equation of the line in slope-intercept form that passes through the point $(-8,-1)$ and has a slope of $-\frac{3}{2}$ is $y = -\frac{3}{2}x -13$ .

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms