SOLUTION: Okay could I please get help with this one. I've to a certain point and have gotten stuck. I need to find the equation of a line that passes through points (0,2) and (4,4) Th

Question 133406: Okay could I please get help with this one. I've to a certain point and have gotten stuck. I need to find the equation of a line that passes through points
(0,2) and (4,4)
This is what I have done so far.
first to find the slope I used m = 4 -2/4-0
The intercept would be 2/4
now for the point slope of the line I used y-2 = 2/4 (x + 0)
y -2 = 2/4x + 2/4
y-2 + 2 = 2/4x + 2/4 + 2
y = 2/4x + this is where I have gotten lost
I would appreciate the help
Answer by jim_thompson5910(35256) (Show Source): 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

Reduce

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 . Now reduce to get

Add to both sides to isolate y

Combine like terms and to get
------------------------------------------------------------------------------------------------------------
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.
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