Question

Find the slope of the line. on a coordinate plane, a line goes through (2, 0) and (6, 1).

a. 4
b. -1/4
c. 1/4
d. -4

Answer 1

The slope of the line that passes through the points (2, 0) and (6, 1) is calculated using the slope formula, resulting in a slope of 1/4, which is answer choice c.

Step-by-step explanation:

To find the slope of a line that passes through two points, you can use the slope formula which is (change in y) / (change in x) or (y2 - y1) / (x2 - x1). In this question, the line passes through the points (2, 0) and (6, 1). We label these points as (x1, y1) and (x2, y2) respectively.

Using the coordinates given:

• x1 = 2, y1 = 0
• x2 = 6, y2 = 1

We apply them to the slope formula:

Slope (m) = (1 - 0) / (6 - 2) = 1/4

Therefore, the slope of the line is 1/4 which corresponds to answer choice c.