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IRINA_888 [86]
3 years ago
10

What is the slope intercept form of y-3=1/2(x-1)

Mathematics
1 answer:
gtnhenbr [62]3 years ago
7 0
<h3>Answer:  y = (1/2)x + 5/2</h3>

Work Shown:

y - 3 = (1/2)(x-1)

y - 3 = (1/2)x - 1/2  .... distribute

y = (1/2)x - 1/2 + 3 .... add 3 to both sides

y = (1/2)x - 1/2 + 6/2 ... rewrite 3 as 6/2

y = (1/2)x + 5/2

This is in y = mx+b form

m = 1/2 = 0.5 is the slope

b = 5/2 = 2.5 is the y intercept

Side note: the original equation is in point slope form. The point we can read from this equation is (1, 3)

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What is the distance rounded to the nearest tenth between the points (2 -2) and (6 3)
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The distance between the points is approximately 6.4

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The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

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4 0
3 years ago
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