Question

Find the x- and y-intercepts of the graph of -2x+5y=16. State each answer as an integer or an improper fraction in simplest form.

Answer 1

Answer:

The x-intercept is (-8, 0)

The y-intercept is (0, 3 1/5)

Step-by-step explanation:

Given the equation:

-2x + 5y = 16

To find the x-intercept, set y = 0

-2x + 5(0) = 16

-2x = 16

x = -16/2 = -8

The x-intercept is (-8, 0)

To find the y-intercept, set x = 0

-2(0) + 5y = 16

5y = 16

y = 16/5 = 3 1/5

The y-intercept is (0, 3 1/5)