How do you determine the x and y intercept for 4x-y=4?

Question

3890 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-19T16:19:52

x-intercept (1,0)

y-intercept (0,-4)

Standard form of equation :

y = mx +c
Where m is the slope.

#4x-y = 4#
#y = 4x - 4#

y-intercept = -4, when x = 0.

x-intercept = 1, when y = 0

Answer 2 · 2017-10-19T16:23:41

The #x#-intercept is #(1, 0)#, and the #y#-intercept is #(0, 4)#.

At #x#-intercepts, #y=0#, and at #y#-intercepts, #x=0#.

So, to find the the #x#-intercept, set #y=0#.

#=>4x-0=4#
#=>4x=4#
#=>x=1#

The #x#-intercept is #(1, 0)#.

To find the #y#-intercept, set #x=0#.

#=>-y=4#
#=>y=-4#

The #y#-intercept is #(0, 4)#.