Respuesta :

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)

Wolfyy

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!