Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope intercept form.
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slope = 1/2, y intercept = 3
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Work Shown:
Pick any two points you want on the line.
I'll pick the two points (0,3) which is the y intercept and also the point (2,4).
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Find the slope of the line through (x1,y1) = (0,3) and (x2,y2) = (2,4)
m = (y2 - y1)/(x2 - x1)
m = (4 - 3)/(2 - 0)
m = 1/2 is the slope
slope = rise/run = 1/2
rise/run = 1/2 means rise = 1 and run = 2.
This means we go up 1 unit each time we move to the right 2 units.
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Since the slope is m = 1/2 and the y intercept is b = 3, we can say
y = mx+b
y = (1/2)x+3
this is the same as y = 0.5x+3 since 1/2 = 0.5