Question

Which of the following coordinate points represents the x-intercept of the equation 2x+3y = 10? a. (–2, 0) b. (0, 0) c. (–4, 0) d. (5, 0)

Answer 1

d, (5, 0 )

Explanation:

given the equation

2x + 3y = 10

the x- intercept is where the line crosses the x- axis

The y- coordinate of any point on the x- axis is 0

substitute y = 0 into the equation and solve for x

2x + 3(0) = 10

2x + 0 = 10

2x = 10 ( divide both sides by 2 )

x = 5

The x- intercept is then at the point (5, 0 )