SOLUTION: Look at Graph B to the right. What is the slope-intercept form of the equation of the line shown in the graph? http://img823.imageshack.us/i/55725729.jpg/

Algebra ->  Graphs -> SOLUTION: Look at Graph B to the right. What is the slope-intercept form of the equation of the line shown in the graph? http://img823.imageshack.us/i/55725729.jpg/      Log On


   

Question 355575: Look at Graph B to the right. What is the slope-intercept form of the equation of the line shown
in the graph?

http://img823.imageshack.us/i/55725729.jpg/
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Looking at the graph below




The graph of the line passes through the points and . So let's find the equation of the line through these points.


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=0 and y%5B1%5D=-4.
Also, is the second point . So this means that x%5B2%5D=3 and y%5B2%5D=0.


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


m=%280--4%29%2F%283-0%29 Plug in y%5B2%5D=0, y%5B1%5D=-4, x%5B2%5D=3, and x%5B1%5D=0


m=%284%29%2F%283-0%29 Subtract -4 from 0 to get 4


m=%284%29%2F%283%29 Subtract 0 from 3 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--4=%284%2F3%29%28x-0%29 Plug in m=4%2F3, x%5B1%5D=0, and y%5B1%5D=-4


y%2B4=%284%2F3%29%28x-0%29 Rewrite y--4 as y%2B4


y%2B4=%284%2F3%29x%2B%284%2F3%29%28-0%29 Distribute


y%2B4=%284%2F3%29x%2B0 Multiply


y=%284%2F3%29x%2B0-4 Subtract 4 from both sides.


y=%284%2F3%29x-4 Combine like terms.


So the equation that goes through the points and is y=%284%2F3%29x-4



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

Also, feel free to check out my tutoring website

Jim