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put this solution on YOUR website!If the x-intercept is -1 and y-intercept is 8, then we have the point (-1,0) for the x-intercept and the point (0,8) for the y-intercept
So let's find the equation of the line that goes through (-1,0) and (0,8)
First lets find the slope through the points (
,
) and (
,
)
Start with the slope formula (note:
)
is the first point (
,
) and
)
is the second point (
,
))
Plug in
,
,
,
(these are the coordinates of given points)
Subtract the terms in the numerator
to get
. Subtract the terms in the denominator
to get
Reduce
So the slope is
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Now let's use the point-slope formula to find the equation of the line:
------Point-Slope Formula------
where
is the slope, and
)
is one of the given points
So lets use the Point-Slope Formula to find the equation of the line
Plug in
,
, and
(these values are given)
Rewrite
as
Distribute
Multiply
and
to get
Add
to both sides to isolate y
Combine like terms
and
to get
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Answer:
So the equation of the line which goes through the points (
,
) and (
,
) is:
The equation is now in
form (which is slope-intercept form) where the slope is
and the y-intercept is
Notice if we graph the equation
and plot the points (
,
) and (
,
), we get this: (note: if you need help with graphing, check out this
solver)
Graph of through the points (,) and (,)
Notice how the two points lie on the line. This graphically verifies our answer.
(