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  1. Slope of a Line Formula. The slope of a line can be calculated from the equation of the line. The general slope of a line formula is given as, y = mx + b. where, m is the slope, such that m = tan θ = Δy/Δx. θ is the angle made by the line with the positive x-axis. Δy is the net change in y-axis.

  2. And we're asked to find the slope of the graph of that equation. The first thing to realize is that each solution is a point on the line. So, all we need to do is find the slope of the line through the points ( 11.4, 11.5) and ( 12.7, 15.4) . Slope = Δ y Δ x = 15.4 − 11.5 12.7 − 11.4 = 3.9 1.3 = 39 13 = 3. The slope of the line is 3 .

  3. If the value of slope of a line is positive, it shows that line goes up as we move along or the rise over run is positive. If the value of slope is negative, then the line goes done in the graph as we move along the x-axis. Solved Examples on Slope of a Line. Example 1: Find the slope of a line between the points P = (0, –1) and Q = (4,1 ...

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  5. Rise over run. Slope is commonly represented by the lower-case letter "m," and is often referred to as rise over run. The formula essentially calculates the change in y over the change in x using two points (x 1, y 1) and (x 2, y 2 ). A graphical depiction is shown below. Below is an example of using the slope formula.

  6. Intro to slope. Slope tells us how steep a line is. It's like measuring how quickly a hill goes up or down. We find the slope by seeing how much we go up or down (vertical change) for each step to the right (horizontal change). If a line goes up 2 steps for every 1 step to the right, its slope is 2.

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  7. Imagine a slope of 1, means for ever step you take with your feet you only go up one stair. Imagine a slope of 5, this means for every step you take you go up 5 stairs. You get to the top and rise much quicker. _____ Another visual example: Imagine you are going skiing. As you go down a slope, you expect the slope to be negative.

  8. Also called "gradient". Have a play (drag the points): See: Equation of a Straight Line. Slope of a Straight Line. Illustrated definition of Slope: How steep a line is. In this example the slope is 35 0.6 Also called gradient.

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