we have the equation
-3x-7y=-42
Part A
x-intercepts (values of x when the value of y=0)
so
For y=0
substitute in the given equation
-3x-7(0)=-42
-3x=-42
x=14
therefore
x-intercept is (14,0)
Part B
y-intercept (value of y when the value of x=0)
so
For x=0
-3(0)-7y=-42
-7y=-42
y=6
therefore
y-intercept is (0,6)