Answer:
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
