How do you find the x and y intercepts for # y = 3x - 7#?

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Answer 1 · 2016-02-01T06:57:39

The x-intercept is #(-7/3,0)#.

The y-intercept is #(0,-7)#.

#y=3x-7#

The x-intercept is the value for #x# when #y=0#.

Substitute #0# for #y#.

#0=3x-7#

Subtract #3x# from both sides.

#-3x=-7#

Divide both sides by #-3#.

#x=-7/3#

The y-intercept is the value of #y# when #x=0#.

Substitute #0# for #x#.

#y=3(0)-7#

#y=-7#

The x-intercept is #(-7/3,0)#.
The y-intercept is #(0,-7)#

graph{y=3x-7 [-11.05, 10.715, -8.21, 2.675]}