ANSWER
x intercept = (-7, 0)
y intercept = (0, 6)
EXPLANATION
We want to find the x and y intercepts of the line.
The equation of the line is:
6x - 7y = -42
To find the x intercept, make y = 0 and find x.
That is:
6x - 7(0) = -42
6x = -42
Divide through by 6:
x = -42/6
x = -7
This can be written as (-7, 0).
To find the y intercept, make x = 0 and find y.
That is:
6(0) - 7y = -42
-7y = -42
Divide through by -7:
y = -42/-7
y = 6
This can be written as (0, 6).
