SOLUTION: please answer my question: write the equation of a line that passes through (-5,-3)and (7,-3) in slope-intercept form...please answer my question,thankyou

Question 176421: please answer my question: write the equation of a line that passes through (-5,-3)and (7,-3) in slope-intercept form...please answer my question,thankyou
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

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

Rewrite as

Rewrite as

Distribute

Multiply

Subtract 3 from 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

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
I just did one similar to that.
Write the equation of the line that passes through (4,-5) and (7,-3). Express in general form
-------------
The hard way:
find the slope, m, = (diff in y)/(diff in x)
m = (-3 -(-5))/(7-4)
m = 2/3
Use either point:
y-y1 = m*(x-x1)
y+5 = (2/3)*(x-4)
3y+15 = 2x-8
2x-3y = 23
-------------
Better way:
|x y 1|
|4 -5 1| = 0
|7 -3 1|
---------------
x*(-5+3) - y*(4-7) + (-12+35) = 0
-2x + 3y + 23 = 0
2x - 3y = 23

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