SOLUTION: Find an equation of the line containing the given pair of points (1/4, -1/2) and (3/4, 6)

Question 146603: Find an equation of the line containing the given pair of points
(1/4, -1/2) and (3/4, 6)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

First let's find the slope through the points

and

Start with the slope formula.

Plug in , , , , ,

Subtract from to get

Subtract from to get

Multiply the first fraction by the reciprocal of the second fraction.

Multiply and 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 from both sides.

Combine like terms. note: If you need help with fractions, check out this solver.

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

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