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constant straight line origin constant
*The word constant means at the same rate of change. straight line origin *The word origin means at point at (0,0). constant
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($25)(0) 0 ($25)(1) 25 ($25)(2) 50 ($25)(3) 75 ($25)(4) 100
A straight monthly fee is sometimes referred to as a flat rate (no change) ($25)(0) ($25)(1) ($25)(2) ($25)(3) ($25)(4) ($25)(5) y (input value) (output value) The slope is $25 ($25 per month) The slope (rise / run) is 25/1. YES. The table is proportional, as the rate of change each month is constant / not changing. YES. All points lie in a straight line. AND The line passes through or begins at the origin (0,0).
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y = 25x The slope is 25. It is the coefficient in front of x. They have a constant rate and pass through (0,0) with in a straight line. y = mx slope x represents (input value) and y represents (output value)
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y = 1.38x y=cost and x=pounds (apples)
The slope is 5.52/4 or $1.38 per pound The rise/run is 4/3. YES. $1.38 per pound is constant. Also, zero pound = zero cost. YES. Slope is constant. Also, line passes through origin (0,0). y = 1.38x y=cost and x=pounds (apples) y = 4/3x
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Origin Will not pass through (0,0).
not constant Origin Will not pass through (0,0). y-intercept y-intercept: Ordered pair (0, y) x must be zero when finding the y-intercept
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20(0) 20(1) 20(2) 20(3) 20(4) 20(x) y Slope is 20. Slope is 20/1. y-intercept is 10, point at (0,10) y-intercept is 10, point at (0,10) No. ratio between x and y is not constant. Line does not pass through the origin (0,0).
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y = 20x + 10 The slope is the coefficient in front of x. The slope is 20. The y-intercept is the number after x. The y-intercept is 10. They have a y-intercept is not (0,0). y = mx + b slope y-intercept
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Line would begin at (0,12). Non-proportional.
-4 9 no -8 no 1.25 yes y = x 0.75 12 Line would begin at (0,12). Non-proportional.
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