Answer:
Part 1) The y-intercept is the point (0,-6)
Part 2) The x-intercept is the point (8,0)
Step-by-step explanation:
we have
[tex]3x-4y=24[/tex]
step 1
Find the y-intercept
we know that
The y-intercept is the value of y when the value of x is equal to zero
For x=0
[tex]3(0)-4y=24[/tex]
[tex]-4y=24[/tex]
[tex]y=-6[/tex]
The y-intercept is the point (0,-6)
step 2
Find the x-intercept
we know that
The x-intercept is the value of x when the value of y is equal to zero
For y=0
[tex]3x-4(0)=24[/tex]
[tex]3x=24[/tex]
[tex]x=8[/tex]
The x-intercept is the point (8,0)
