Answer
x-intercept: $(-\frac{1}{7},0)$
y-intercept: $(0,4)$
Work Step by Step
$y=4(7x+1)$
Make $y=0$ to find the x-intercept:
$0=4(7x+1)$
$0=7x+1$
$-7x=1$
$x=-\frac{1}{7}$
We have the point: $(-\frac{1}{7},0)$
Make $x=0$ to find the y-intercept:
$y=4[7(0)+1]=4(0+1)=4$
We have the point: $(0,4)$