Question

Using this graph, for each of the following pairs of numbers, decide which is larger. Be sure that you can explain your answer.

a) x_1
b) x_2
c) y_1
d) y_2

Answer 1

To decide which number is larger for each pair in the graph, we need to examine the slope of the line at the corresponding point and compare the values.

Step-by-step explanation:

To decide which number is larger for each pair, we need to examine the graph. From the given graph description, if the slope (b) is positive, the line slopes upward to the right. If the slope is zero, the line is horizontal. If the slope is negative, the line slopes downward to the right.

a) x1: Identify the points on the graph corresponding to x1. Determine if the line slopes upward, horizontally, or downward at that point. Compare the y-values of the two points to decide which is larger.

b) x2: Identify the points on the graph corresponding to x2. Determine if the line slopes upward, horizontally, or downward at that point. Compare the y-values of the two points to decide which is larger.

c) y1: Identify the points on the graph corresponding to y1. Determine if the line slopes upward, horizontally, or downward at that point. Compare the x-values of the two points to decide which is larger.

d) y2: Identify the points on the graph corresponding to y2. Determine if the line slopes upward, horizontally, or downward at that point. Compare the x-values of the two points to decide which is larger.