Q:

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

Accepted Solution

A:
Answer:5x - 2y = 20Step-by-step explanation:Find x-intercept by substituting y for 05x - 2y = 105x - 2(0) = 10Isolate x to get x-intercept.5x = 10x = 2(2, 0)Twice of this intercept is (4,0).Find y-intercept by substituting x for 05x - 2y = 105(0) - 2y = 10Isolate y to get y-intercept.-2y = 10y = -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 = 20y = -105x - 2y = 205x = 20x = 4An equation is 5x - 2y = 20.