`3x + 5y - 30 = 0` State the slope and y intercept of the graph of each equation.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The equation 3x+5y-30=0 is the general form (standard form). Rewrite the original equation in slope-intercept form which is y=mx+b.

3x+5y-30=0

3x+5y-30+30=0+30

3x+5y=30

3x-3x+5y=30-3x

5y=-3x+30

y=-3/5 x + 30/5

y=-3/5 x+ 6

In the equation y=mx+b. The m represents the slope and the b represents the y-intercept. Therefore the slope m=-3/5 and the y-intercept is b=6.

Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial