Question

What is the slope of this line?

What is the slope of this line?

Responses

−13
negative 1 third

−23
negative 2 over 3

13
1 third

23
2 over 3
Number graph ranging from negative 10 to 10 on both the x and y axis. A line passes through the point begin ordered pair 0 comma negative 3 end ordered pair and the point begin ordered pair 6 comma 1 end ordered pair

Answer 1

The slope of the line that passes through the points (0, -3) and (6, 1) is calculated to be 2 over 3, which is a positive slope.

Step-by-step explanation:

The slope of a line on a graph is calculated by the ratio of the change in y (rise) over the change in x (run). To find the slope between the two points given (0, -3) and (6, 1), we use the formula:

Slope (m) = (y2 - y1) / (x2 - x1)

Substituting the given points into the formula:

Slope (m) = (1 - (-3)) / (6 - 0)

Slope (m) = 4 / 6

Slope (m) = 2 / 3

Therefore, the slope of the line that passes through the points (0, -3) and (6, 1) is 2 over 3, which indicates a positive slope.