You can
put this solution on YOUR website!
If you want to find the equation of line with a given a slope of
which goes through the point (
,
), you can simply use the point-slope formula to find the equation:
---Point-Slope Formula---
where
is the slope, and
)
is the given point
So lets use the Point-Slope Formula to find the equation of the line
Plug in
,
, and
(these values are given)
Distribute
Multiply
and
to get
Add 5 to both sides to isolate y
Combine like terms
and
to get
------------------------------------------------------------------------------------------------------------
Answer:
So the equation of the line with a slope of
which goes through the point (
,
) is:
which is now in
form where the slope is
and the y-intercept is
Notice if we graph the equation
and plot the point (
,
), we get (note: if you need help with graphing, check out this
solver)
Graph of through the point (,)
and we can see that the point lies on the line. Since we know the equation has a slope of and goes through the point (,), this verifies our answer.
(