SOLUTION: How do you write an equation for the relation given in the chart? x -2 0 2 4 y 10 2 -6 -14

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Question 95805: How do you write an equation for the relation given in the chart?
x -2 0 2 4
y 10 2 -6 -14

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(-2,10)(0,2)(2,-6)(4,-14)
plot the above points on a graph and you will see you have a straight line.
we need 2 points so we will take the 1st (-2,10) and the 4th set (4,-14)arbitrarily.
slope+%28m%29=%28y-y%5B1%5D%29%2F%28x-x%5B1%5D%29=%2810-%28-14%29%29%2F%28-2-4%29=24%2F-6=-4
m=-4
Next we get an equation:
Point slope form: y-y[1]=m(x-x[1])
y-(-14)=-4(x-4)
y+14=-4x+16
y=-4x+2 (slope intercept form)
General form of the same equation: 4x+y-2=0
EdJones
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-4x%2B2%29