SOLUTION: Given the points (2, -5) and ( -1, 4). Find the Slope and Y-intercept? Find the equation of the line? Please Thank you

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Question 177464: Given the points (2, -5) and ( -1, 4).
Find the Slope and Y-intercept?
Find the equation of the line? Please Thank you
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

First let's find the slope of the line through the points and


Start with the slope formula.


Plug in , , , and


Subtract from to get


Subtract from to get


Reduce


So the slope of the line that goes through the points and is


Now let's use the point slope formula:


Start with the point slope formula


Plug in , , and


Rewrite as


Distribute


Multiply


Subtract 5 from both sides.


Combine like terms.


Simplify


So the equation that goes through the points and is


Notice how the graph of goes through the points and . So this visually verifies our answer.
Graph of through the points and

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Given the points (2, -5) and ( -1, 4).
Find the Slope and Y-intercept?
slope = (4--5)/(-1-2) = 9/-3 = -3
----
intercept: 4 = -3*-1 + b
b = 1
-------
Find the equation of the line?
y = -3x + 1
==================
Cheers,
Stan H.
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