40 POINTS please help

Answer:
(0,-3)
(8,0)
Step-by-step explanation:
Putting x = 0
[tex]3(0) - 8y = 24[/tex]
[tex] - 8y = 24[/tex]
[tex]y = \dfrac{ - 24}{8} [/tex]
[tex]y = - 3[/tex]
x - intercept = (0.-3)
Putting y = 0
[tex]3x - 8(0) = 24[/tex]
[tex]3x = 24[/tex]
[tex]x = \dfrac{24}{3} [/tex]
[tex]x = 8[/tex]
y - intercept = (8,0)
Answer:
x-intercept is 8
y-intercept is -3
Step-by-step explanation:
We can put the equation into slope intercept form to find the y-intercept.
3x - 8y = 24
~Subtract 3x to both sides
-8y = 24 - 3x
~Divide -8 to everything
y = -3 + 3/8x
~Reorder
y = 3/8x - 3
In slope intercept form we know that m = slope and b = y-intercept in the formula [ y = mx + b ] so we know that the y-intercept will be -3. To find the x intercept we can substitute 0 for y and solve for x.
0 = 3/8x - 3
3 = 3/8x
x = 8
Best of Luck!