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Question 956398: Is the relationship shown by the data below linear? If so, model the data with an equation.
x: -11,-1,4,19
y: -7,-3,-1,5
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! slopw = (y2 - y1) / (x2 - x1)
the slope from all the points is equal to 2/5.
the data can be modeled by a linear equation.
take any two of the points and model the linear equation.
choose (x1,y1) = (-11,-7)
choose (x2,y2) = 19,5)
slope = (5--7)/(19--11) = (5+7)/(19+11) = 12/30 = 2/5.
use any one of the points on the line to find the equation.
slope intercept form is y = mx + b.
m = 2/5
y = -11
x = 19
equation becomes:
5 = 2/5 * 19 + b
solve for b to get:
b = 5 - 2/5 * 19
simplify to get:
b = 5 - 7.6
simplify further to get:
b = -2.6
equation becomes:
y = 2/5 * x -2.6
graph of that equation looks like this:
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