Question
upstudy study bank question image url

Find the slope and the \( y \)-intercept of the line. \[ 4 x-3 y=-15 \] Write your answers in simplest form.

Ask by Turnbull Gough. in the United States
Mar 17,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The slope is \( \frac{4}{3} \) and the \( y \)-intercept is \( 5 \).

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Extra Insights

To find the slope and the \( y \)-intercept, we need to rearrange the equation into the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the \( y \)-intercept. Starting with the given equation: \[ 4x - 3y = -15 \] First, isolate \( y \): \[ -3y = -4x - 15 \] Now, divide by -3: \[ y = \frac{4}{3}x + 5 \] From this, we can see that the slope \( m \) is \( \frac{4}{3} \) and the \( y \)-intercept \( b \) is \( 5 \). Therefore, the slope is \( \frac{4}{3} \) and the \( y \)-intercept is \( (0, 5) \).

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy