8x-3y=48 what is the x and y intercept

x-intercept = 6

y-intercept = -16

Step-by-step explanation:

8x-3y=48

Step 1

To find the y-intercept, we rewrite the equation into the form,

y=mx+c

Where c = y-intercept (this means that the straight line cuts the y-axis on a graph)

8x-3y=48

8x-48=3y

3y=8x-48

y=8x/3 - 48/3

y=8x/3 - 16

y=2.67x-16

Comparing y=mx+c and y=2.67x-16,

c corresponds to -16.

Therefore, the y-intercept is -16

Step 2

To find the x-intercept, we rewrite the equation into the form,

x=ay+c

8x-3y=48

8x=3y+48

x = (3/8)y + 48/8

x = 0.38y + 6

Comparing x=ay+c and x=0.38y+6,

c corresponds to 6

Therefore, the x-intercept is 6