SOLUTION: Question#1 Find the standard form of the equation of the line that passes through the points (-2,-4) and (-7,-2). Question#2 Find the equation of the line, in slope-intercept form

Question 316296: Question#1 Find the standard form of the equation of the line that passes through the points (-2,-4) and (-7,-2).
Question#2 Find the equation of the line, in slope-intercept form, that contains the points (-2,7) and (-5,5).
Question#3 What is the slope of the line y=2/3x-3.
Question#4 What is the slope of the line y=-2/3x-2.
Question#5 Write the equation of the line, in slope-intercept form, that contains the points (-8,-9) and (-8,-5).
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Only post one problem at a time please.

# 1

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

Rewrite as

Rewrite as

Distribute

Multiply

Subtract 4 from both sides.

Combine like terms.

So the equation that goes through the points

and

is

I'll let you convert that to standard form.
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