Question

What are the slope and the y-intercept of the linear function that is represented by the table? x y Negative three-fourths Negative StartFraction 1 Over 30 EndFraction Negative one-half Negative StartFraction 2 Over 15 EndFraction One-fourth Negative StartFraction 13 Over 30 EndFraction Two-thirds Negative three-fifths a The slope is Negative two-fifths, and the y-intercept is Negative one-third. b The slope is Negative one-third, and the y-intercept is Negative two-fifths. c The slope is One-third, and the y-intercept is Negative two-fifths. d The slope is Two-fifths, and the y-intercept is Negative one-third.

Answer 1

The slope and the y-intercept of the function are: A. Slope = -2/5; y-intercept = -1/3.

How to Find Slope and Y-intercept of a Linear Function?

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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