(9,9)/(7,5) find the slope

Question

please help me. (9,9)/(7,5) find the slope. . . .

Answer 1

So you're trying to find the slope between two points. Slope is calculated by comparing the "rise" (how much the line goes up or down on the y-axis) to the "run" (how far the line goes along the x-axis). The equation is written as: Slope = (y₂ - y₁)/(x₂ - x₁).

Your two coordinates are (7,5) (this is x₁,y₁) and (9,9) (this is x₂,y₂).

The "rise" is y₂ - y₁ = 9 - 5 = 4. The "run" is x₂ - x₁ = 9 - 7 = 2. Therefore, the slope = 4/2 = 2. What this says is that for every 1 unit that you move in the positive direction along the x-axis, the line will go up 2 units.

You can check your work by imagining moving from the first point at (7,5). Moving over 1 unit and up 2 units puts you at (8,7), then moving over 1 unit and up 2 units puts you at (9,9) which is the second point. This confirms that we have the correct slope.