SOLUTION: What is the equation of line passing through (2,-3) and (4,-4)? Write the equation in the standard form. (Ax + By + C)

Question 171387: What is the equation of line passing through (2,-3) and (4,-4)?
Write the equation in the standard form. (Ax + By + C)
Found 2 solutions by jim_thompson5910, 1-10math:
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

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

Distribute

Multiply

Multiply EVERY term by the LCD 2 to clear the fraction.

Add "x" to both sides.

Subtract 6 from both sides.

Combine and rearrange the terms.

So the line that passes through (2,-3) and (4,-4) is
Answer by 1-10math(1) (Show Source): You can put this solution on YOUR website!
y+4=-1/3(x-4)
y+4=-1/3x-1(1/3)
y+4+1/3x=-1(1/3)
-4
y+1/3x=-1(1/3)-4
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