SOLUTION: write an equation in point slope form and standard form of the line that passes through the given points: (0.-1), (-6,-9)

Algebra ->  Linear-equations -> SOLUTION: write an equation in point slope form and standard form of the line that passes through the given points: (0.-1), (-6,-9)      Log On


   

Question 179014This question is from textbook
: write an equation in point slope form and standard form of the line that passes through the given points: (0.-1), (-6,-9) This question is from textbook

Answer by jim_thompson5910(35256) About Me  (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 .


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


m=%28-9--1%29%2F%28-6-0%29 Plug in y%5B2%5D=-9, y%5B1%5D=-1, x%5B2%5D=-6, and x%5B1%5D=0


m=%28-8%29%2F%28-6-0%29 Subtract -1 from -9 to get -8


m=%28-8%29%2F%28-6%29 Subtract 0 from -6 to get -6


m=4%2F3 Reduce


So the slope of the line that goes through the points and is m=4%2F3


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--1=%284%2F3%29%28x-0%29 Plug in m=4%2F3, x%5B1%5D=0, and y%5B1%5D=-1


y%2B1=%284%2F3%29%28x-0%29 Rewrite y--1 as y%2B1


y%2B1=%284%2F3%29x%2B%284%2F3%29%280%29 Distribute


y%2B1=%284%2F3%29x%2B0 Multiply


y%2B1=%284%2F3%29x Simplify


3y%2B3=4x Multiply EVERY term by the LCD 3 to clear the fraction


3y%2B3-4x=0 Subtract 4x from both sides.


3y-4x=-3 Subtract 3 from both sides.


-4x%2B3y=-3 Rearrange the terms.


4x-3y=3 Multiply EVERY term by -1 to make the x coefficient positive



========================================================

Answer:

So the equation of the line in standard form that goes through the points and is 4x-3y=3