SOLUTION: What is the equation of the line containg the given pair of points (-7,0) and )0,5)

Algebra.Com
Question 481683: What is the equation of the line containg the given pair of points (-7,0) and )0,5)
Found 2 solutions by jim_thompson5910, rfer:
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


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


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

Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
m=(5-0)/0--7)
m=5/7
------------
y=5/7x+b
5=5/7*0+b
5=b
-----------
y=5/7x+5

RELATED QUESTIONS

What is the equation of the line containg the given pair of points (-8,-8) and (1,1)? (answered by richard1234)
find an equation of the line containg the given pair of points (-2,-9) and... (answered by drj)
Find an eqution of the line containg the given pair of points. (-1,-2) and (-3,-7) The... (answered by mananth)
Find the slope, if it exists, of the line containg the pair of points (7,5) and... (answered by Alan3354)
I need to find the equation of the line containg (-2, -7) and (-5,... (answered by mananth)
Find an equation of the line containing the given pair of points. 1. (2, 5) and (4,7) (answered by MathLover1)
Find an equation of the line having the given slope and containg the given point.... (answered by jim_thompson5910,dkppathak)
Find an equation of the line containg the giveen pait of points: (1/6,-1/3 and... (answered by Alan3354)
Find an equation of the line containing the given pair of points (3, -5) and (0,... (answered by QH)