You can
put this solution on YOUR website!(2,5) & (7,-3)
First we find the slope (m) (y2-y1)/(x2-x1)
m=(-3-5)/(7-2)
m=-8/5 is the slope.
now we replace the x & y terms with one set of points & solve for the y intercept (b) in the equation [Y=mX+b]
5=-8/5*2+b
5=-16/5+b
5+16/5=b
(25+16)/5=b
41/5=b the y intercept.
Thus the equation is:
y=-8x/5+41/5
(graph 300x200 pixels, x from -6 to 10, y from -10 to 10, -8x/5 +41/5).
You can
put this solution on YOUR website!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
So the slope is
------------------------------------------------
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)
Distribute
Multiply
and
to get
Add
to both sides to isolate y
Combine like terms
and
to get
(note: if you need help with combining fractions, check out this
solver)
------------------------------------------------------------------------------------------------------------
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.
(