Question 208884: I need assistance to try and understand how to come up with the equation to describe the rule(x,y) for (-1,-7),(0,-3),(1,1),(2,5),(4,13),(5,17)
Currently I was advised the answer is y=4x-3 , but I need to have a full understanding or a break down of how the answer was arrived.
Thanks!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! I need assistance to try and understand how to come up with the equation to describe the rule(x,y) for (-1,-7),(0,-3),(1,1),(2,5),(4,13),(5,17)
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Notice that the x-values increase by 1
Notice that the y-values increase by 4
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This constant increase tells you the relation is linear.
So the equation looks like y = mx + b
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The constant increase of the y-values is the slope: m = 4
The y-value that goes with x=0 is the y-intercept: b = -3
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So the equation is y = 4x-3
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Cheers,
Stan H.
PS: Reply to stanbon@comcast.net as the algebra.com feedback
program is not working.
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