Question
upstudy study bank question image url

Graph the line. \( y=-3 x-2 \)

Ask by Griffin Cox. in the United States
Mar 12,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

To graph the line \( y = -3x - 2 \), plot the y-intercept at \( (0, -2) \), use the slope of -3 to find another point, and draw a straight line through these points.

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

The Deep Dive

To graph the line represented by the equation \( y = -3x - 2 \), start by finding the y-intercept. When \( x = 0 \), \( y = -2 \). Plot the point \( (0, -2) \) on the graph. Next, use the slope, which is -3 (meaning for every 1 unit you move to the right, you move down 3 units). From the y-intercept, move 1 unit to the right to \( (1, -2) \) and then down 3 units to \( (1, -5) \). Plot this second point too and draw a line through both points. Remember, the slope indicates direction. A negative slope like -3 means your line will tilt downward as you move from left to right. Enjoy plotting!

Related Questions

Latest Algebra Questions

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