SOLUTION: Hi I have two problems I need help with. Thanks Find an equation of the line containing the given pair of points. Write answer in slope intercept form. 1.(-5,8) and (6,-4)

Question 243724: Hi I have two problems I need help with. Thanks
Find an equation of the line containing the given pair of points. Write answer in slope intercept form.
1.(-5,8) and (6,-4)
Solve using either elimination or substitution. If the system has either no solution or an infinite number of solutions, state this.
2.y=6x+41
4x+9y=-95

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 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

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 8 to both sides.

Combine like terms.

So the equation that goes through the points

and

# 2

Plug in

Distribute.

Combine like terms on the left side.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

Go back to the first equation.

Plug in

Multiply

Add

So the solutions are and which form the ordered pair (-8,-7)
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