Find the intercepts of 3x+8y=24

Answer 1

To find the x intercept, solve the equation when y=0.

3x+8y=24 Replace y with 0:

3x+8(0)=24 Multiply 8*0:

3x=24 Divide both sides by 3 to isolate x:

x=8 So, when y is equal to 0, x is equal to 8

Write this as an ordered pair (x,y):

(8,0) This is the x intercept

To find the y intercept, solve the equation when x=0.

3x+8y=24 Replace x with 0:

3(0)+8y=24 Multiply 3*0:

8y=24 Divide both sides by 8 to isolate y:

y=3 So, when x is equal to 0, y is equal to 3

Write this as an ordered pair (x,y):

(0,3) This is the y intercept

Answer 2

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