SOLUTION: HELP! Find an equation of the line containing the given pair of points. (2,4) and (6,6)

Question 640868: HELP!
Find an equation of the line containing the given pair of points. (2,4) and (6,6)

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.

So the equation that goes through the points

and

is

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

Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you

Jim
--------------------------------------------------------------------------------------------------------------
RELATED QUESTIONS
Find an equation of the line containing the given pair of points (1/4, -1/2) and (3/4,... (answered by jim_thompson5910)

Find an equation of the line containing the given pair of points: (-2 ,3) and (-4, 6). (answered by Alan3354)

Find an equation of the line containing the given pair of points (-5,-4) and (-2,-6) the... (answered by jim_thompson5910)

Find an equation of the line containing the given pair of points. Use function notation... (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. (-3,-1)... (answered by Alan3354)

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 (1/6, -1/3) and (5/6,... (answered by jim_thompson5910)

Please help me solve Find an equation of the line containing the given pair of points (answered by rothauserc)

Find an equation of the line containing the given pair of points: (-2 ,3) and (-4, 6). (answered by Alan3354)