SOLUTION: 4)Find an equation of the line described below. Write the equation in slope-intercept form (solved for y), when possible. Through (6,4) and (4,6) (simplify your answer.)

Question 382114: 4)Find an equation of the line described below. Write the equation in slope-intercept form (solved for y), when possible.
Through (6,4) and (4,6)
(simplify your answer.)
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

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

Distribute

Multiply

Add 4 to both sides.

Combine like terms.

Simplify

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

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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