SOLUTION: Question#1 Find the standard form of the equation of the line that passes through the points (-2,-4) and (-7,-2). Question#2 Find the equation of the line, in slope-intercept form

Algebra ->  Linear-equations -> SOLUTION: Question#1 Find the standard form of the equation of the line that passes through the points (-2,-4) and (-7,-2). Question#2 Find the equation of the line, in slope-intercept form      Log On


   

Question 316296: Question#1 Find the standard form of the equation of the line that passes through the points (-2,-4) and (-7,-2).
Question#2 Find the equation of the line, in slope-intercept form, that contains the points (-2,7) and (-5,5).
Question#3 What is the slope of the line y=2/3x-3.
Question#4 What is the slope of the line y=-2/3x-2.
Question#5 Write the equation of the line, in slope-intercept form, that contains the points (-8,-9) and (-8,-5).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Only post one problem at a time please.

# 1



First let's find the slope of the line through the points and


Note: is the first point . So this means that x%5B1%5D=-2 and y%5B1%5D=-4.
Also, is the second point . So this means that x%5B2%5D=-7 and y%5B2%5D=-2.


m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula.


m=%28-2--4%29%2F%28-7--2%29 Plug in y%5B2%5D=-2, y%5B1%5D=-4, x%5B2%5D=-7, and x%5B1%5D=-2


m=%282%29%2F%28-7--2%29 Subtract -4 from -2 to get 2


m=%282%29%2F%28-5%29 Subtract -2 from -7 to get -5


m=-2%2F5 Reduce


So the slope of the line that goes through the points and is m=-2%2F5


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y--4=%28-2%2F5%29%28x--2%29 Plug in m=-2%2F5, x%5B1%5D=-2, and y%5B1%5D=-4


y--4=%28-2%2F5%29%28x%2B2%29 Rewrite x--2 as x%2B2


y%2B4=%28-2%2F5%29%28x%2B2%29 Rewrite y--4 as y%2B4


y%2B4=%28-2%2F5%29x%2B%28-2%2F5%29%282%29 Distribute


y%2B4=%28-2%2F5%29x-4%2F5 Multiply


y=%28-2%2F5%29x-4%2F5-4 Subtract 4 from both sides.


y=%28-2%2F5%29x-24%2F5 Combine like terms.


So the equation that goes through the points and is y=%28-2%2F5%29x-24%2F5


I'll let you convert that to standard form.