SOLUTION: How do you write a linear equation from x and y coordinates

Question 638348: How do you write a linear equation from x and y coordinates
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

1.
Find the slope of the line by dividing the change in y-coordinates by the change in x-coordinates:
.
For example, given the coordinates (2, 0) and (-1, 3), the .
If both of the x-coordinates equal some value , the slope and y-intercept are undefined, and the equation for the line will be .
2.
Calculate the y-intercept by multiplying the slope times one of the x-coordinates and subtracting the product from the y-coordinate of the same point:
, where and are coordinates of one of the given points.
For example, knowing that the , use the point (2, 0): .
3.
Write the equation for the line in the format:
.
In the given example, .
4.
Verify the equation by plugging in the - and of the given points. If the equation remains balanced after simplifying, your equation is good.
For example, given the equation , plug in the first point (2,0):
. That's true, so everything checks out so far.
Try again with (-1, 3):
. That's true too, so the equation is good.

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