For each of the following functions, find the intercepts

Question

a.) 4𝑥−5𝑦=8

x:intercept: ?

y: intercept: ?

b.) 𝑦=𝑥^2−2𝑥−15

x:intercept: ?

y: intercept: ?

Hello! I just need a little help finding the intercepts for these two problems! Thank you!

Answer 1

a.) 4𝑥−5𝑦=8

x:intercept: ?

y: intercept: ?

x-intercept at y=0, so

4x = 8

solve for x

y-intercept at x=0, so

-5y = 8

solve for y

b.) 𝑦=𝑥^2−2𝑥−15

x:intercept: ?

y: intercept: ?

x-intercept at y=0, so

0 = x² - 2x -15

0 = (x-5)(x+3)

solve for two values of x

y-intercept at x=0

y = -15

Answer 2

x-intercept at y = 0

y-intercept at x = 0