Answer: y = 2x-3
Slope = 2
Y intercept = -3
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Explanation:
We'll use the template y = mx+b
m = slope
b = y intercept
The y intercept always occurs when x = 0. In this case, b = -3 due to the first row of the table.
The slope is m = 2 because each time we increase x by 1, the y value goes up by 2.
So we can say
m = slope = (rise)/(run) = (change in y)/(change in x) = (2)/(1) = 2
Or we can apply the slope formula
m = (y2-y1)/(x2-x1)
using any two points of the table.
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Since we know m = 2 and b = -3, this means we get
y = mx+b
y = 2x+(-3)
y = 2x-3
