Question 484880
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