Question

Question

Use the image to answer the question.

A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis negative 6 comma 2 right parenthesis, left parenthesis negative 4 comma 6 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.

Find the slope of the line given its graph.

(1 point)

Answer 1

To find the slope of the line given its graph, we need to identify two points on the line and calculate the change in y-coordinates divided by the change in x-coordinates.

From the graph, we can see that the two plotted points are (-6, 2) and (-4, 6).

The change in y-coordinates is:
6 - 2 = 4

The change in x-coordinates is:
-4 - (-6) = 2

Therefore, the slope of the line is:
4/2 = 2

So, the slope of the line is 2.

Answer 2

Use the image to answer the question.

A coordinate plane shows four quadrants with both the x-axis and the y-axis ranging from negative 10 to positive 10 in increments of 2. Two points are plotted and joined by a line. The plotted points are as follows: left parenthesis 0 comma 2 right parenthesis, left parenthesis 1 comma negative 1 right parenthesis. A line connects the two plotted points and extends beyond the points in both directions.

Find the slope of the line given its graph.

(1 point)

Answer 3

To find the slope of the line given its graph, we need to identify two points on the line and calculate the change in y-coordinates divided by the change in x-coordinates.

From the graph, we can see that the two plotted points are (0, 2) and (1, -1).

The change in y-coordinates is:
-1 - 2 = -3

The change in x-coordinates is:
1 - 0 = 1

Therefore, the slope of the line is:
-3/1 = -3

So, the slope of the line is -3.