Question

Find the x- and y-intercepts of the graph of 2x - 5y = 6. State each answer

as an integer or an improper fraction in simplest form.

Answer 1

The y intercept is (0,
`(-6)/(5)`)

The x intercept is (3,0)

Explanation:

To find the y intercept, set x to 0 and solve

2x - 5y = 6 Let x equal 0

2(0) - 5y = 6

-5y = 6 Divide both sides by -5

y = -6/5

(0,-6/5)

Set y to 0 to find the x intercept

2x - 5y = 6

2x - 5(0) = 6

2x = 6 Divide both sides by 2

x = 3

(3,0)