How to figure out the slope of a line

How to Use the Formula and Calculate Slope

how to figure out the slope of a line

Interactive lesson with video explanation of how to find the slope of a line Answer: Yes, and this is a fundamental point to remember about calculating slope.

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Finding the Slope of a Line. Learning Objective s. The idea of slope is something you encounter often in everyday life. Think about rolling a cart down a ramp or climbing a set of stairs. Both the ramp and the stairs have a slope. You can describe the slope, or steepness, of the ramp and stairs by considering horizontal and vertical movement along them.

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To calculate the slope of a line you need only two points from that line, x 1 , y 1 and x 2 , y 2.
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The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points. Teachers use different words for the y-coordinates and the the x-coordinates. These words all mean the same thing , which is that the y values are on the top of the formula numerator and the x values are on the bottom of the formula denominator! Remember: difference in the y values goes in the numerator of formula, and the difference in the x values goes in denominator of the formula. Answer: It does not matter which point you put first. You can start with 4, 3 or with 1, 2 and, either way, you end with the exact same number!

If you know how to find the slope of a line, [1] many things become clearer to you, like whether two lines are parallel or perpendicular, where they will intersect, and many other concepts. Finding the slope of a line is actually pretty easy. Read on for some easy steps you can take to learn how to find the slope of a line. To find the slope of a line, pick any two coordinates on the line, and choose one of the points to be the dominant point. Use the equation of rise over run, which is Y2-Y1 divided by X2-X1. Subtract the other y-coordinate from the dominant y-coordinate, and subtract the other x-coordinate from the dominant x-coordinate. Leave the answer in fraction form to get the slope of the line!

Worked example: slope from graph


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