Question

Find the slope of the line passing through the points (9,-8) and (1,-2)

Answer 1

-3/4

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To find the slope of a line passing through two points, (x₁, y₁) and (x₂, y₂), we can use the formula:

• slope = (y₂ - y₁) / (x₂ - x₁).

In this case, the points are (9, -8) and (1, -2).

Plugging in the values into the formula, we get:

• slope = (-2 - (-8)) / (1 - 9) = 6 /( -8) = -3/4

Therefore, the slope of the line passing through the points (9, -8) and (1, -2) is -3/4.

Answer 2

m = -3/4

Explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Points: (9,-8) and (1,-2)

We see the y increase by 6 and the x decrease by 8, so the slope is

m = 6/-8 = - 3/4

So, the slope is -3/4