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on the board is an equation in

slope-intercept form

y equals 2x minus 6.

in order to find the intercept

we replace y with zero

and work out the problem from there

our equation becomes zero equals two x

minus six

our goal is to isolate the x so the

first thing we're going to do

is add 6 to each side of the equation

when we do this the 6's on the right

side of the equation cancel each other

out

we add 6 to 0 on the left side of the

equation and get a simplified version

now all we do is divide six by two and

two by two to get our final answer of x

equals three in other words our x

intercept is three if we wanted to plot

this on a graph

our coordinate pair would be three and

zero

you