SOLUTION: graph the line containing the given pair of points and find the slope. (3,0) and (6, -4) Use the grpahing tool to graph the line. Make sure to use the two given points when gr

Algebra ->  Graphs -> SOLUTION: graph the line containing the given pair of points and find the slope. (3,0) and (6, -4) Use the grpahing tool to graph the line. Make sure to use the two given points when gr      Log On


   

Question 157964: graph the line containing the given pair of points and find the slope.
(3,0) and (6, -4)
Use the grpahing tool to graph the line. Make sure to use the two given points when graphing the line.
m = ?

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


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


m=%28-4-0%29%2F%286-3%29 Plug in y%5B2%5D=-4, y%5B1%5D=0, x%5B2%5D=6, and x%5B1%5D=3


m=%28-4%29%2F%286-3%29 Subtract 0 from -4 to get -4


m=%28-4%29%2F%283%29 Subtract 3 from 6 to get 3


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-0=%28-4%2F3%29%28x-3%29 Plug in m=-4%2F3, x%5B1%5D=3, and y%5B1%5D=0


y-0=%28-4%2F3%29x%2B%28-4%2F3%29%28-3%29 Distribute


y-0=%28-4%2F3%29x%2B4 Multiply


y=%28-4%2F3%29x%2B4%2B0 Add 0 to both sides.


y=%28-4%2F3%29x%2B4 Combine like terms.


y=%28-4%2F3%29x%2B4 Simplify


So the equation that goes through the points and is y=%28-4%2F3%29x%2B4


Notice how the graph of y=%28-4%2F3%29x%2B4 goes through the points and . So this visually verifies our answer.
Graph of y=%28-4%2F3%29x%2B4 through the points and