how do you find of a SLOPE of a line and how to graph it NO links please try to mak eit simple really confused and i have a test tommotow?

2015-10-30 2:08 am
how to graph the slope NO links please try to mak it simple really confused and i have a test tommotow

回答 (3)

2015-10-30 2:18 am
Slope is simply rise divided by run. It is the change in height divided by the change in distance. Change in y over change in x.

If a line passes through (0,0) and (5,10), then it rises 10 units (the change in y is 10) over a run of 5 units (x changes by 5). 10/5 = 2, so the slope is 2.

If you have a line with a given slope, there are an infinite number of line that you can plot. All these lines are gling to be parallel and pass through the x axis at different points.

If you have a slope and a point, now you have a single line. For example, if you have point (2,3) and a slope of 3, then you can start with the given point, move 1 unit to the right and 3 units up to the next point. Draw a straight line to include these points.

Slope can be negative. If the line goes downhill, then the slope is negative. If you go to the right (run) 1 unit, and the line drops (-rise) 3 units, then it has a slope of -3.

As for a formula:

m = (y1-yo)/(x1 - x0)
2015-10-30 2:27 am
2015-10-30 2:24 am
Here are the high points regarding slope;
1. If you have two points on a line, the slope = the difference in the y coordinates/difference in x coordinates. Consider the points (2,3) and (-5,8): slope = (3 - 8)/(2 - -5) = (3 - 8)/(2 + 5) = -5/7.
2. If you know the slope and only one point, plug the slope (m) into the slope-intercept equation (y = mx + b). Then plug in the point values for x and y; solve for b. Then, rewrite the formula in slope-intercept form, plugging in ONLY the slope (m) and b.
3. Two parallel lines always have the same slope.
4. If the line is vertical (parallel to the y axis), the line has an undefined slope; the formula is always x = ?.
5. If the line is horizontal (parallel to the x axis), the line has a slope of 0; the formula is always y = ?.
6. If a line is perpendicular to another line, their slopes are negative reciprocals of each other.
7. To graph a line, find two points on the line and connect them with a straightedge; if the line is unlimited, put an arrow on each end. Alternatively, plot one point on the line and then use the slope to find another point. For example, if the slope is a/b, go up "a" units (down if "a" is negative), then up "b" units (down if "b" is negative). If they are BOTH negative, ignore the negative signs and consider them both to be positive.
8. Lines with a negative slope move downward, going left to right; lines with a positive slope move upward, going left to right.


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