Question 750105: write an equation in slope-intercept form for the table of values:
X -3 -1 1 3
Y 7 5 3 1 Found 2 solutions by Alan3354, FrankM:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! write an equation in slope-intercept form for the table of values:
X -3 -1 1 3
Y 7 5 3 1
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Pick 2 of the points
(1,3) & (3,1) will do
Slope m = diffy/diffx
m = -2/2 = -1
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Use y = mx + b and any point to find b, the y-intercept
(3,1)
1 = (-1)*3 + b
b = 4
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y = -x + 4
You can put this solution on YOUR website! 2 points define a line. (1,3) (3,1) is what I'll use.
slope-intercept is the form y=mx+b where m is the slope and b is the y intercept.
m=(y2-y1)/(x2-x1)= (1-3)/(3-1) = -2/2 = -1
with the slope, we substitute a point into this equation -
y-3=-1(x-1)
y-3=-1x+1 (distribute the -1 over the two terms)
y=-1x+4 (add 3 to both sides to simplify)
Now - you should double check that the equation works for the extra two pairs we didn't use. To be sure there were no mistakes along the way, and no typo in the question)
