SOLUTION: Write the slope-intercept equation for the line that passes through (5, 4) and (7, 8). Please show all of your work.

Question 536614: Write the slope-intercept equation for the line that passes through (5, 4) and (7, 8). Please show all of your work.
Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

First let's find the slope of the line through the points and

Note: is the first point . So this means that and .
Also, is the second point . So this means that and .

Start with the slope formula.

Plug in , , , and

Subtract from to get

Subtract from to get

Reduce

So the slope of the line that goes through the points and is

Now let's use the point slope formula:

Start with the point slope formula

Plug in , , and

Distribute

Multiply

Add 4 to both sides.

Combine like terms.

Simplify

So the equation that goes through the points and is

Notice how the graph of goes through the points and . So this visually verifies our answer.
Graph of through the points and

If you need more help, email me at jim_thompson5910@hotmail.com

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Write the slope-intercept equation for the line that passes through (5, 4) and (7, 8). Please show all of your work.
--------------
|x y 1|
|5 4 1| = 0
|7 8 1|
--------
x*(4-8) - y*(5-7) + (40-28) = 0
-4x + 2y + 12 = 0
2x - y = 6 (standard form)
y = 2x - 6 (slope intercept form)

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