SOLUTION: Write an equation of the line that has each pair of intercepts: X-intercept:-3, Y-intercept:6 How do I do this?

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Question 175484: Write an equation of the line that has each pair of intercepts:
X-intercept:-3, Y-intercept:6 How do I do this?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
X-intercept:-3 means that the point (-3,0) is on the line

Y-intercept:6 means that the point (0,6) is on the line


So let's find the equation of the line through the points (-3,0) and (0,6)



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=%286-0%29%2F%280--3%29 Plug in y%5B2%5D=6, y%5B1%5D=0, x%5B2%5D=0, and x%5B1%5D=-3


m=%286%29%2F%280--3%29 Subtract 0 from 6 to get 6


m=%286%29%2F%283%29 Subtract -3 from 0 to get 3


m=2 Reduce


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


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


y=2%28x--3%29 Simplify


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


y=2x%2B2%283%29 Distribute


y=2x%2B6 Multiply



So the equation that goes through the points and is y=2x%2B6


Notice how the graph of y=2x%2B6 goes through the points and . So this visually verifies our answer.
Graph of y=2x%2B6 through the points and