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kupik [55]
3 years ago
7

How to calculate the rise and run of a slope (4,-1) and (-2,3)

Mathematics
1 answer:
astra-53 [7]3 years ago
8 0
m =  \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }
m =   \frac{3 - (-1)}{-2 - 4}
m =  \frac{4}{2}
m = 2
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Ronch [10]

Look at the picture.

The point-slope form:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-3, -3) and (2, 0). Substitute:

m=\dfrac{0-(-3)}{2-(-3)}=\dfrac{3}{5}\\\\y-0=\dfrac{3}{5}(x-2)\qquad|\text{use distributive property}\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}\qquad|\cdot5\\\\5y=3x-6\qquad|-5y\\\\0=3x-5y-6\qquad|+6\\\\3x-5y=6

Answer:

point-slope form: y=\dfrac{3}{5}(x-2)

slope-intercept form: y=\dfrac{3}{5}x-\dfrac{6}{5}

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The value of y varies directly with x, and y=28 when x=7. Find y when x=4 by first finding k.
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Direct proportionality is the type of proportionality where an increase in one quantity or variable causes a corresponding increase in another quantity. 
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3 years ago
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