Question

Which linear function has the steepest slope? y = negative 8 x 5 y minus 9 = negative 2 (x 1) y = 7 x minus 3 y 2 = 6 (x 10)

Answer 1

The function with the steepest slope is the function which has the maximum absolute value of the slope. Hence, the function with the steepest slope is y = - 8x + 5

The general form of a linear equation is given as :

• y = bx + c ; b = slope

Evaluating the linear expressions given :

A.)

y = - 8x + 5

b = - 8 ;

|b| = 8

B)

y minus 9 = negative 2 (x + 1)

y - 9 = - 2(x + 1)

y - 9 = - 2x - 2

y = - 2x - 2 + 9

y = -2x + 7

Hence, b = - 2

|b| = 2

C)

y = 7 x minus 3

y = 7x - 3

Hence, b = 7

|b| = 7

D)

y + 2 = 6 (x + 10)

y + 2 = 6x + 60

y = 6x + 60 - 2

y = 6x + 58

Hence, b = 6

|b| = 6

Therefore, the function which has the steepest slope is y = -8x + 5

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