Question

Identify the correct x intercept and y intercept of the equation 4x - 3y = 24.

x intercept = (6, 0); y intercept = (0, -8)

x intercept = (-6, 0); y intercept = (0, 8)

x intercept = (-8, 0); y intercept = (0, -6)

x intercept = (8, 0); y intercept = (0, 6)

Answer 1

when \(x =0\), then the solution for \(y\) is the \(y\)-intercept.
when \(y = 0\), then the solution for \(x\) is the \(x\)-intercept.

Answer 2

just set y=0 and solve for x. then set x=0 and solve for y

Answer 3

can you substitute \(y=0\) to get the \(x\)-intercept?

Answer 4

turn from standard form into slope intercept form

4x - 3y = 24

-3y = 24 - 4x

y = 24/-3 + 4/3x

y = -8 + 4/3x

now plug in 0 for x....and 0 for y to get each

so

0 = 4/3x - 8
8 = 4/3x
24 = 4x
x = 6

thats the x intercept

and

y = 4/3(0) - 8
y = -8

so x intercept = 6,0 and y intercept = -8,0