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erica [24]
3 years ago
5

2 Find the slope from the 2 points. (-12,-9) and ( 18, 6) -2 -1/2 2 1/2

Mathematics
1 answer:
lawyer [7]3 years ago
8 0

Step-by-step explanation:

the slope of a line is the ratio y/x.

that means when going from one point to the other, how many units is y changing, when x changes a certain number of units.

so, going from one point to the other here, x changes by 30 units (from -12 to +18). and y changes 15 units (from -9 to 6).

therefore, the slope is

15/30 = 1/2

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Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).
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When finding a line that is perpendicular to another line, all you have to do is find the "opposite reciprocal" of the slope. In this case that means writing the slope as the fraction -3/1, and then flipping the fraction over (1/-3) and taking away the negative sign which gets you 1/3 for the slope of your new line. Now, all you have of your new equation is the slope. You need to take your new equation (y=1/3x+b) and plug in the x and y coordinates to that equation, and then solve for the last variable which is b. That solving process goes as follows:

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