SOLUTION: Find the equation of the line that passes through the points (-2, 3) and (1, -6). A. y = -9x + 3 B. y = -3x - 3 C. y = -3x + 3 D. y = -3x + 9 2. Find the

Question 762742: Find the equation of the line that passes through the points (-2, 3) and (1, -6).

A. y = -9x + 3
B. y = -3x - 3

C. y = -3x + 3

D. y = -3x + 9

2.
Find the equation of the horizontal line that passes through the point (-2.5, -6.3).

A. y = -2.5

B. y = -6.3x

C. y = -6.3

D. y = 0

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

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

Add 3 to 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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