How do you find the x and y intercepts for #y= 4x - 7#?

1 Answer
Alan P.
Nov 14, 2015

y-intercept: #(-7)#
x-intercept:#7/4#

Explanation:

The y-intercept is the value of #y# where the equation's line crosses the Y-axis.
For all points on the Y-axis, #x=0#
So the y-intercept is the value of #y# when #x=0#

For the given equation this becomes:
#color(white)("XXX")y =4(0)-7 = -7#
So the y-intercept is #(-7)#

Similarly, the x-intercept is the value of #x# when #y=0#

For the given equation this becomes
#color(white)("XXX")0 = 4x-7#

#color(white)("XXX")rarr 4x=7#

#color(white)("XXX")rarr x= 7/4#

So the x-intercept is #7/4#

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