SOLUTION: Find an equation of the line containing the given pair of points (2,3) and (6,5)

Question 189692: Find an equation of the line containing the given pair of points (2,3) and (6,5)
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

and

is the second point

.

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 3 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

RELATED QUESTIONS
Find an equation of the line containing the given pair of points (1/6, -1/3) and (5/6,... (answered by jim_thompson5910)

Find an equation of the line containing the given pair of points. (1/6, -1/3) and (5/6, (answered by Alan3354)

Find an equation of the line containing the given pair of points. (-2,-7)... (answered by checkley77)

find an equation of the line containing the given pair of points... (answered by jim_thompson5910)

Find an equation of the line containing the given pair of points (-1,-3) and (-5,-6). (answered by jim_thompson5910)

Find an equation of the line containing the given pair of points. (1/6,- 1/3) and... (answered by checkley77)

Find an equation of the line containing the given pair of points. 1/6,-1/3 and... (answered by Fombitz)

(1/6,-1/3) and (5/6,5) Find an equation of the line containing the given pair of... (answered by Alan3354)

find an equation of the line containing the given pair of points (-2,-6) and... (answered by mananth)

Find an equation of the line containing the given pair of points. Use function notation... (answered by Alan3354)