How do you find the x and y intercepts of #6x-y=-7#?

1 Answer
Aug 28, 2016

Answer:

X - intercept is #-7/6#
Y - intercept is #7#

Explanation:

The quickest way to find the x and y intercepts for this equation is to rearrange the equation into slope-intercept form before substituting y as 0.

Slope intercept form is the equation #y=mx+b#. This equation is the most basic (and in my opinion) the most important graphing equation. #y# and #x# are the x and y coordinate points, #m# is the slope if the line, and #b# is the y-intercept.

To rearrange this equation:
#6x-y=-7#
#-y=-6x-7#
#y=6x+7#
As you can see, 7 is in the place of #b# therefore making it the y intercept.

Next we input y as 0 because if it is an x intercept then it wont move vertically.
#0=6x+7#
#-7=6x#
#-7/6=x#
Therefore #-7/6 is the X intercept.