SOLUTION: Find the slope and y-intercept for the graph of 5x-4y=8 A. m=5/4;(0,10) B. m=-4/5;(0,10) C. m=4/5;(0,2) D. m=5/4;(0,-2)

Algebra ->  Linear-equations -> SOLUTION: Find the slope and y-intercept for the graph of 5x-4y=8 A. m=5/4;(0,10) B. m=-4/5;(0,10) C. m=4/5;(0,2) D. m=5/4;(0,-2)      Log On


   

Question 169804: Find the slope and y-intercept for the graph of 5x-4y=8
A. m=5/4;(0,10)
B. m=-4/5;(0,10)
C. m=4/5;(0,2)
D. m=5/4;(0,-2)
Found 2 solutions by jim_thompson5910, jojo14344:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

5x-4y=8 Start with the given equation.


-4y=8-5x Subtract 5x from both sides.


-4y=-5x%2B8 Rearrange the terms.


y=%28-5x%2B8%29%2F%28-4%29 Divide both sides by -4 to isolate y.


y=%28%28-5%29%2F%28-4%29%29x%2B%288%29%2F%28-4%29 Break up the fraction.


y=%285%2F4%29x-2 Reduce.


So the equation y=%285%2F4%29x-2 is now in slope intercept form y=mx%2Bb where the slope is m=5%2F4 and the y-intercept is b=-2 note: the y-intercept is the point

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
5x-4y=8
It follows, y=mx%2Bb; Slope=m & b=Yintercept
-4y=-5x%2B8
cross%28-4%29y%2Fcross%28-4%29=%28-5x%2B8%29%2F-4
y=%28-5%2F-4%29x%2B%288%2F-4%29 ------> y=%285%2F4%29x-2
Slope=m=5%2F4 & b=-2, Answer (D)
see graph,

Thank you,
Jojo