we have the equation
y=-4x+4
step 1
Find the x-intercept (value of x when the value of y is zero)
so
For y=0
0=-4x+4
4x=4
x=4/4
x=1
x-intercept is (1,0)
step 2
Find the y-intercept (value of y when the value of x is zero)
so
For x=0
y=-4(0)+4
y=4
y-intercept is (0,4)