Question

Which equation has a negative slope?

y= 3/4x + 5
y= 1/8x - 16
y= 9- 1/2x
y=-10 + 4x

Answer 1

y = 9 - 1/2x

Explanation:

You can tell because point slope form is y = mx + b. This can be written as

y = b + mx. b represents y intercept, and m represents slope. In this case -1/2 is m and + 9 is b.

Answer 2

y=9-(1)/(2)x

Explanation:

Step 1: Put each equation into y=mx+b format

y=( 3)/(4)x + 5 ---> ( 3)/(4)x+5

y=( 1)/(8)x - 16 --->( 1)/(8)x-16

y= 9-( 1)/(2)x ---> -(1)/(2)x+9

y=-10 + 4x ---> 4x-10

Step 2: The slope of an equation, once in y=mx+b format, is determined by the value in front of the x. Since the -(1)/(2) is the only value in front of an x that is negative, y=9-(1)/(2)x is the answer.