SOLUTION: Find an equation of the line containing the given pair of points (-3,0)and (0,5) What is the equation of the line y=? answer must be in y-intercept form can anyone help?

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line containing the given pair of points (-3,0)and (0,5) What is the equation of the line y=? answer must be in y-intercept form can anyone help?      Log On


   

Question 243544: Find an equation of the line containing the given pair of points
(-3,0)and (0,5)
What is the equation of the line y=?
answer must be in y-intercept form
can anyone help?
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 . So this means that x%5B1%5D=-3 and y%5B1%5D=0.
Also, is the second point . So this means that x%5B2%5D=0 and y%5B2%5D=5.


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


m=%285-0%29%2F%280--3%29 Plug in y%5B2%5D=5, y%5B1%5D=0, x%5B2%5D=0, and x%5B1%5D=-3


m=%285%29%2F%280--3%29 Subtract 0 from 5 to get 5


m=%285%29%2F%283%29 Subtract -3 from 0 to get 3


So the slope of the line that goes through the points and is m=5%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=%285%2F3%29%28x--3%29 Plug in m=5%2F3, x%5B1%5D=-3, and y%5B1%5D=0


y-0=%285%2F3%29%28x%2B3%29 Rewrite x--3 as x%2B3


y-0=%285%2F3%29x%2B%285%2F3%29%283%29 Distribute


y-0=%285%2F3%29x%2B5 Multiply


y=%285%2F3%29x%2B5%2B0 Add 0 to both sides.


y=%285%2F3%29x%2B5 Combine like terms.


So the equation that goes through the points and is y=%285%2F3%29x%2B5


Notice how the graph of y=%285%2F3%29x%2B5 goes through the points and . So this visually verifies our answer.


Graph of y=%285%2F3%29x%2B5 through the points and