Question

Find the x- and y-intercepts of the graph of — 7x + 8y = 40. State your answers as

whole numbers or as improper fractions in simplest form.

Answer 1

x-intercept is (40/7, 0) and y-intercept is (0, 5)

Explanation:

x-intercept ==> y-coordinate is 0 ==> y=0

y-intercept ==> x-coordinate is 0 ==> x=0

because the function is 7x + 8y = 40

when y = 0 ==> 7x = 40 ==> x = 40/7

so the x-intercept is (40/7, 0)

when x = 0 ==> 8y = 40 ==> y = 5

so the y-intercept is (0,5)