Question

The graph of a line y=mx+b is shown. Which of the following is true?

A. mb < -1

B. -1
C. mb=0

D. 0
E. mb>1

Answer 1

Answer:

-1 < mb < 0

Step-by-step explanation:

y = mx + b

m - slope

b - y-intercept

From the graph we have:

0 < b < 1

The graph is decreasing, therefore m < 0.

The formula of a slope:

$m=\dfrac{\Delta y}{\Delta x}$

Based on the graph data and the slope formula we determine -1 < m < 0.

Therefore

-1 < mb < 0