Question

Find the slope of another line.

Drag the left point to (-3, 14). Let this be (Xı, yı). Drag the right point to (3, -4).
This will be (X2, yz). y - y. is

Answer 1

Slope = –3

Explanation:

From the question given above, the following data were obtained:

x coordinate:

x₁ = –3

x₂ = 3

y coordinate:

y₁ = 14

y₂ = –4

Slope =?

Next, we shall determine the change in the x coordinates. This can be obtained as follow:

x₁ = –3

x₂ = 3

Change in x coordinate (Δx) =?

Δx = x₂ – x₁

Δx = 3 – (–3)

Δx = 3 + 3

Δx = 6

Next, we shall determine the change in the y coordinates. This can be obtained as follow:

y₁ = 14

y₂ = –4

Change in y coordinate (Δy) =?

Δy = y₂ – y₁

Δy = –4 – 14

Δy = –18

Finally, we shall determine the slope. This can be obtained as follow:

Change in x coordinate (Δx) = 6

Change in y coordinate (Δy) = –18

Slope =?

Slope = Δy / Δx

Slope = –18 / 6

Slope = –3