Question

find the intercepts and graph the line
x-4y=-4

Answer 1

first you have to put the equation in slope intercept form

Answer 2

the intercepts are where the line crosses the axes...
so you can just plug in zero for x and solve for y for the y-intercept
and zero for y and solve for x for the x-intercept

Answer 3

-4y=-x-4
then divide by four on each side
y=1/4x+1

Answer 4

the +1 in slope intercept form is the y-intercept

Answer 5

when the line crosses the y-axis, x=0
when the line crosses the x-axis, y=0

for the graph, do what imnotowel said...and you can get the slope (and y-intercept, although you can get the y-intercept by setting x=0)

Answer 6

then as BME said you replace y for 0 and solve to find x (the x-intercept)