Answer:
The x- intercept is 5, the y-intercept is -2, the slope is -2/5
Explanation:
How?
Well, the equation was 2x-5y=10
you would have to change the y to 0 to find the x-intercept
the equation would then be 2x-5(0) = 10
Then, you'd get 2x=10 because 5x0 is 0 and doesn't have to be included in this situation
to isolate the x you would then divide both sides by 2 and you would get
x=5.
Next, solve your equation for y.
You'd change the x to 0 making it 2(0) - 5y = 10
Again, 2 x 0 is 0, which doesn't have to be included, so the equation is
-5y = 10
To isolate the y, you'd divide by -5 on both sides
You'd get y = -2
Now to find the slope you'd do y1 - y over x1 -x
Your points are now 5,0 and 0,-2
-2 - 0 = -2
5-0 = 5
so your slope is
2/5
I HOPE THIS HELPED! (purrrrr!)