Question

40 POINTS please help

Answer 1

(0,-3)

(8,0)

Explanation:

Putting x = 0

`3(0) - 8y = 24`

`- 8y = 24`

`y = ( - 24)/(8)`

`y = - 3`

x - intercept = (0.-3)

Putting y = 0

`3x - 8(0) = 24`

`3x = 24`

`x = (24)/(3)`

`x = 8`

y - intercept = (8,0)

Answer 2

x-intercept is 8

y-intercept is -3

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!