Question

Line m passes through points (7, 6) and (5, 13). Line n is perpendicular to m. What is the

slope of line n?

Answer 1

Slope of a line equation.

Formula for slope of line n is m= rise/run. y2-y1/x2-x1

(7,6) is (x1, y1) and (5,13) is (x2,y2). Simply plug these values in to the equation and solve.

Explanation:

(13)-(6) = 7.

(5)-(7) = -2.

7/-2 = - 7/2

- 7/2 = -3.5.

Perpendicular just means that the 1. answer changes sign (pos/neg). This answer is negative, so it becomes a positive. 2. the denominator number switches places with the numerator number. so 7/2 becomes 2/7. Decimal version is 3.5/1 becomes 1/3.5

Final Answer: 1/3.5 or 2/7

Answer 2

-3.5

Explanation:

To find the slope of line n, we need to find the slope of line m first. The slope of a line is calculated by dividing the difference in the y-coordinates of two points on the line by the difference in the x-coordinates of the same two points. In this case, we can use the two points (7, 6) and (5, 13) to calculate the slope of line m. The difference in the y-coordinates of these two points is 13 - 6 = 7, and the difference in the x-coordinates is 5 - 7 = -2. Dividing the difference in the y-coordinates by the difference in the x-coordinates yields 7 / -2 = -3.5.

A line is perpendicular to another line if the product of their slopes is -1. Since the slope of line m is -3.5, the slope of line n, which is perpendicular to line m, is -1 / -3.5 = 1/3.5 = <<-1/-3.5=1/3.5>>1/3.5.