SOLUTION: 1. Write the equation of the line passing through the points (0, -4) and (-2, 2. Write the equation of the line with a slope of -5 and a y-intercept of (0,3). 3. Write the equatio

Question 551090: 1. Write the equation of the line passing through the points (0, -4) and (-2, 2. Write the equation of the line with a slope of -5 and a y-intercept of (0,3).
3. Write the equation of the line passing through the points (0, -4) and (-2, 4. Write the equation of the line passing through the points (-6,1) and (-4,2).

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started.

# 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

Distribute

Multiply

Subtract 4 from both sides.

Combine like terms.

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

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