Question

Line m goes through points A and B. What is the slope of line m? Solve on paper, then enter your answer on Zearn. Point A : (12, -3) Point B : (-3, 2) The slope of line m is .

Answer 1

The slope of line m, which passes through points A (12, -3) and B (-3, 2), is calculated using the change in y over the change in x, resulting in a slope of -1/3.

Step-by-step explanation:

To calculate the slope of line m, which goes through points A (12, -3) and B (-3, 2), we use the formula for slope which is the rise over the run, or more specifically, the change in y divided by the change in x. We find the difference in y-values and x-values between the two points, also known as Δy and Δx respectively.

Δy = y2 - y1 = 2 - (-3) = 2 + 3 = 5

Δx = x2 - x1 = (-3) - 12 = -3 - 12 = -15

The slope (m) is hence Δy / Δx = 5 / (-15) = -1/3.

Therefore, the slope of line m is -1/3.

Answer 2

slope m = -
`(1)/(3)`

Step-by-step explanation:

calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

let (x₁, y₁ ) = A (12, - 3 ) and (x₂, y₂ ) = B (- 3, 2 )

substitute these values into the formula for m

m =
`(2-(-3))/(-3-12)` =
`(2+3)/(-15)` =
`(5)/(-15)` = -
`(1)/(3)`