Question

Find the expression that will correctly find the slope of a line that goes through the points (-3, 4) and (6, 7). Find the slope of the line.

A. m = (7 - 4) / (6 - (-3))
B. m = (4 - 7) / (-3 - 6)
C. m = (6 - 3) / (-3 - 6)
D. m = (4 - (-3)) / (6 - 7)

Answer 1

To find the slope of a line that goes through two points, use the formula: slope (m) = (y2 - y1) / (x2 - x1). Given the points (-3, 4) and (6, 7), the correct expression is m = (7 - 4) / (6 - (-3)), which simplifies to 1/3.

Step-by-step explanation:

To find the slope of a line that goes through two points, you can use the formula:

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

Given the points (-3, 4) and (6, 7), we can substitute the values into the formula:

Slope (m) = (7 - 4) / (6 - (-3))

Simplifying the expression gives:

Slope (m) = 3 / 9

Therefore, the correct expression to find the slope of the line is:

A. m = (7 - 4) / (6 - (-3))

The slope of the line is 1/3.