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Anna007 [38]
3 years ago
15

Complete the equation of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (4,1)(4,1)left

parenthesis, 4, comma, 1, right parenthesis. Use exact numbers.
Mathematics
1 answer:
Daniel [21]3 years ago
3 0

Answer:

y=\frac{3}{2}x-5

Step-by-step explanation:

There are a couple of ways to solve this, depending on what you already know.

Point-Slope Form

y-y_1=m(x-x_1)  where <em>m</em> is the slope and (x_1, y_1) is a point on the line.

First, calculate the slope using the two given points (x_1, y_1), (x_2, y_2).

m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-2)}{4-2}=\frac{3}{2} .

Fill in the point-slope pattern

y-(-2)=\frac{3}{2}(x-2) \\ y+2=\frac{3}{2}x-3 \\ y=\frac{3}{2}x-5

There's the equation in slope-intercept form (y=mx+b).

Slope-Intercept Form

Use y=mx+b directly.

Find the slope just like the above, so m=\frac{3}{2}.

Now, plug one of the points (either one!) together with <em>m</em> into

y=mx+b\\-2=\frac{3}{2}(2)+b \\ -2=3+b \\ b=-5

Now you know the value of <em>b</em>, so the equation for the line is

y=\frac{3}{2}x-5

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List multiples of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D" id="TexFormula1" title="\frac{5}{8}" alt="\frac{5}{8}
Mila [183]

Answer:

5/8

                 10/8 = 1 2/8 = 1 1/4

                 15/8 = 1 7/8

                 20/8 = 2 4/8 = 2/1/2

Step-by-step explanation:

 DO NOT multiply both the numerator and the denominator by the same value.

6 0
2 years ago
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lana66690 [7]
Your answer would be 2
7 0
3 years ago
If 1/a, 1/b, 1/c are in Arithmetic Progress, show that 2ac/a+c.​
Iteru [2.4K]
  1. 1/b-1/a = 1/c-1/b [ since they are in arithmetic progress]
  2. 1/b+1/b = 1/c+1/a
  3. 2/b = (a+c)/ac
  4. 2ac = b(a+c)
  5. 2ac/(a+c) =b

6 0
3 years ago
Beeswax used in making candles is produced by honeybees produce 7 pounds of honey for each pound of wax they produce. How many p
Mkey [24]

Answer:

1,015

Step-by-step explanation:

7 pounds of honey equals 1 pound of wax

So if we have 145 pounds of was, we multiply 145 by 7

145x7= 1,015

5 0
2 years ago
If like line A is changed to line B how will the equation change
Alla [95]

Answer:

Line B will become line A and Line A will become line B.

Step-by-step explanation:

3 0
3 years ago
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