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kupik [55]
3 years ago
14

Error Analysis A classmate found the slope of the line passing through (8,-2) and (8.10), as shown at the right. Describe your c

lassmate's error. Then find the correct slope of the line passing through the given points.​

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0

Answer:

m=undefined; 12/0

Step-by-step explanation:

The classmate's mistake is that she should have placed the y and top and the x on the bottom.

m= 10+2/8-8

m= 12/0

The slope is undefined, meaning that it is a vertical line.

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Let’s start by considering any 2 points falling on the line, the intercepts are the ones which come to my mind. Thus, the line 2x+3 will originally intersect the x- axis at (−32,0) and the y- axis at (0,3).

So, the basic insight is that on rotating the origin, the axes rotate. But the intercepts (their lengths) don’t change. The axis that is being intercepted will change, not the distance of intercepting points from the origin until our line is itself rotated. (Keep scribbling)

For the first case, we rotate the axes clockwise by a right angle. Now notice that the negative x-axis replaces the positive y-axis. So, our line now intercepts the negative x- axis at a distance 3 from the origin. Similarly, the negative y- axis replaces the negative x- axis. So, our line intersects the negative y- axis at distance 1.5 .

Therefore, the new intercepts are X(−3,0) and Y(0,−1.5). We can hence produce the new equation for our line in the slope- intercept form as

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7 0
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