Question

Given: 5x - 6y = 0, What is the x-intercept?

A.) (0, 0)
B.) (-1/5, 0)
C.) (0, 1/6)
D.) no intercept

Answer 1

A, x-intercept is when y=0, so in this case when y=0, the equation becomes 5x=0. Therefore, x must equal 0 for 5x=0. so y=0 and x=0 so the answer it (0,0), which is A.

Answer 2

x intercept is where te line crosses the x axis or/and where the y value is 0

set y=0 and find  x value

5x-6y=0
5x-6(0)=0
5x-0=0
5x=0
divide both sides by 5
x=0

(0,0) is x intercept

A is answer