Positive & Negative Slope Question

Question 1

The following coordinate plane has 5 lines. Each line has 'positive' or 'infinite'.

How many lines are labeled correctly?

A. 1
B. 2
C. 3
D. 4

Step by Step Solution

• Step 1

Looking at the reference picture below, the line on the right has a positive slope.

Therefore, the slope for this line is correctly labeled.

• Step 2

Looking at the reference picture below, the line on the right has a negative slope.

Therefore, the slope for this line is correctly labeled.

• Step 3

Next, looking at the reference picture below, the line on the right has zero slope.

Therefore, the slope for this line is should be zero and not infinite.

• Step 4

Looking at the reference picture below, the line on the right has infinite slope.

Therefore, the slope for this line is should be infinite and not zero.

• Step 5

Finally, looking at the reference picture below, the line on the right has negative slope.

Therefore, the slope for this line is should be negative and not positive.

• Step 6

Of all the 5 lines, only 2 are correctly labeled. Hence, the answer is B.