Find the intercepts of 2x+5y=20 and graph

Answer 1

X-intercept is where y=0 and y-intercept is where x=0.

original equation: 2x+5y=20

1) Substitute 0 for y, and get 2x +5(0) = 20, which is 2x = 20

a) solve for x by dividing both sides by 2, and x = 10, THUS x-intercept (10,0)

2) Substitute 0 for x, and get 2(0) + 5y = 20, which is 5y = 20

a) solve for y by dividing both sides by 5, and y = 4, THUS y-intercept is (0,4)

Answer 2

Along the y-axis, x = 0.

2(0) + 5y = 20

5y = 20

y = 4

Your y-intercept is at (0,4).

Along the x-axis, y = 0

2x + 5(0) = 20

2x = 20

x = 10

Your x-intercept is at (10,0).