Question

Write an equation of the line whose x-intercept and y-intercept are each twice the corresponding intercepts of the graph of the equation 5x - 2y = 10

Answer 1

2

Explanation:

Answer 2

5x - 2y = 20

Explanation:

Find x-intercept by substituting y for 0

5x - 2y = 10

5x - 2(0) = 10

Isolate x to get x-intercept.

5x = 10

x = 2

(2, 0)

Twice of this intercept is (4,0).

Find y-intercept by substituting x for 0

5x - 2y = 10

5(0) - 2y = 10

Isolate y to get y-intercept.

-2y = 10

y = -5

(0, -5)

Twice of this intercept is (0, -10).

A line should have the y-intercept -10 and x-intercept 4.

In original equation, double the 10.

Test for x and y intercepts.

5x - 2y = 20

-2y = 20

y = -10

5x - 2y = 20

5x = 20

x = 4

An equation is 5x - 2y = 20.