SOLUTION: 5x-2y=10. I need help finding the x-intercept, the y-intercept and the slope.

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Question 484880: 5x-2y=10. I need help finding the x-intercept, the y-intercept and the slope.
Found 2 solutions by jim_thompson5910, Tatiana_Stebko:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
x-intercept: plug in y=0 and solve for x

5x-2y=10
5x-2(0)=10
5x=10
x=2
So the x-intercept is (2,0)

y-intercept: plug in x=0 and solve for y

5x-2y=10
5(0)-2y=10
-2y=10
y=-5
So the y-intercept is (0,-5)

Slope: Solve for y and place in y = mx+b form where m is the slope

5x-2y=10

-2y=10-5x

-2y=-5x+10

y=(-5x+10)/(-2)

y=(-5x)/(-2)+(10)/(-2)

y = (5/2)x-5

The equation is now in y = mx+b form where m = 5/2 and b = -5

So the slope is m = 5/2

Answer by Tatiana_Stebko(1539) (Show Source):
You can put this solution on YOUR website!
x-intercept , => , point (2,0)
y- intercept , => , point (0,-5)
slope-intercept form of the equation is , where is a slope

divide by -2
, then the slope is