SOLUTION: write an equation of a line that has the same slope as 2x-5y=12 and the same y-intercept as 4y+24=5x

Algebra ->  Linear-equations -> SOLUTION: write an equation of a line that has the same slope as 2x-5y=12 and the same y-intercept as 4y+24=5x      Log On


   

Question 205435: write an equation of a line that has the same slope as 2x-5y=12 and the same y-intercept as 4y+24=5x
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope of 2x-5y=12
Sove for y:
-5y = -2x + 12

y+=+%28-2x%29%2F%28-5%29+%2B+12%2F%28-5%29
y=%282%2F5%29x+-12%2F5

The slope is 2/5.

Next find the y-intercept of 4y+24=5x
Let x = 0, and 4y+24=0
4y=-24
y=-6

The equation with slope 2/5 and y intercept y=-6 will be
Y=%282%2F5%29x+-6.

For more explanations on slopes and graphing of a line, see my website by clicking on my tutor name "Rapaljer" anywhere in algebra.com. On my homepage, look for "Basic, Intermediate, and College Algebra: One Step at a Time." See Basic Algebra in Chapter 4 and Intermediate Algebra in Chapter 5. I also have a video on my website that you can download for free called "Graphing and Slope of a Line". Look for my Video page, and click on "Basic Algebra". If you need help finding anything on my website, send me an Email!! It's there--I'll be glad to help ANYONE find it!!

R^2

Dr. Robert J. Rapalje
Seminole Community College
Altamonte Springs, Florida