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The slope and the y-intercept of the function are: A. Slope = -2/5; y-intercept = -1/3.
<h3>How to Find Slope and Y-intercept of a Linear Function?</h3>Slope (m) = change in y / change in x.
Using two pairs of points form the table value, (1/4, -13/30) and (2/3, -3/5)"
Slope (m) = (-13/30 - (-3/5))/(1/4 - 2/3)
Slope (m) = (-13/30 + 3/5))/(1/4 - 2/3)
Slope (m) = (1/6)/(-5/12)
Slope (m) = (1/6)(12/-5) = 12/-30
Slope (m) = -2/5
Plug in m = -2/5 and (x, y) = (2/3, -3/5) into y = mx + b to find the y-intercept (b).
-3/5 = -2/5(2/3) + b
-3/5 = -4/15 + b
-3/5 + 4/15 = b
-1/3 = b
b = -1/3
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