SOLUTION: what is the slope intercept form of the equation with the points (3,0) and (0,-4)?

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Question 175002: what is the slope intercept form of the equation with the points (3,0) and (0,-4)?
Found 3 solutions by Alan3354, jim_thompson5910, actuary:
Answer by Alan3354(69443) About Me  (Show Source):
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what is the slope intercept form of the equation with the points (3,0) and (0,-4)?
--------------
|x y +1|
|3 0 +1| = 0
|0 -4 1|
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x*(0+4) - y*(3-0) -12 = 0
4x -3y = 12
3y = 4x - 12
y = (4/3)x -4

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


m=%28-4%29%2F%280-3%29 Subtract 0 from -4 to get -4


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


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


y=%284%2F3%29%28x-3%29 Simplify


y=%284%2F3%29x%2B%284%2F3%29%28-3%29 Distribute


y=%284%2F3%29x-4 Multiply



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


Notice how the graph of y=%284%2F3%29x-4 goes through the points and . So this visually verifies our answer.
Graph of y=%284%2F3%29x-4 through the points and

Answer by actuary(112) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the slope is m=(y2-y1)/(x2-x1)
X
Substituting the given values for the two points we have
m=(-4-0)/(0-3)= -4/-3=4/3
The point-slope formula for a line is (y-y1)=m(x-x1)
So substituting the value for m and the values for x1 and y1 we have
(y-0)=4/3*(x-3)
Carrying out the arithmetic we have y = 4/3*(x-3)
I hope that this helps