Review of the Coordinate Plane & Slope Quick Check

Question

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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 8 comma 0 right parenthesis, left parenthesis 0 comma 4 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

The slope of a line can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

In this case, the coordinates of the first point are (-8, 0) and the coordinates of the second point are (0, 4).

Using the formula, we can calculate the slope as follows:

m = (4 - 0) / (0 - (-8))
= 4 / 8
= 1/2

Therefore, the slope of the line is 1/2.