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EleoNora [17]
3 years ago
8

81x - 122 = 22 (find x)

Mathematics
2 answers:
Lisa [10]3 years ago
8 0

Answer:

x = 16/9

Step-by-step explanation:

81x - 122 = 22

81x = 144

x = 16/9

hodyreva [135]3 years ago
7 0

Answer:

Step-by-step explanation:

81x-122=22

    +122 +122

   81x=144

    /81  /81

     x = 1.7

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I believe the fastest way to solve this problem is to take any two of the given points and to find the slope and y-intercept of the line connecting those two points.  

Let's choose the 2 given points (-3,16) and (-1,12).
Going from the first point to the second, the increase in x is 2 and the increase in y is actually a decrease:  -4.  Thus, the slope of the line connecting these two points is m = -4/2, or m = -2.

Now use the slope-intercept formula to find the y-intercept, b.

One point on the line is (-3,16), and the slope is m = -2.

Thus, the slope-intercept formula y = mx + b becomes 16 = -2(-3) + b.
Here, b comes out to 10.

So now we have the slope and the y-intercept.  Write the equation:

y = mx + b becomes y=-2x+10.  Which of the four given answer choices is the correct one?
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Helena wrote the equation using point-slope form for the line that passes through the points (5, 1) and (3, 5). Analyze the step
viva [34]

Answer:

In step 2, she didn’t use an x and y from the same coordinate pair

Step-by-step explanation:

see the attached figure to better understand the problem

we have the points (5, 1) and (3, 5)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{5-1}{3-5}

m=\frac{4}{-2}

m=-2

step 2

The equation of the line in point slope form is

y-y1=m(x-x1)

take the point (3,5)

m=-2

substitute

y-5=-2(x-3)

y-5=-2x+6

y=-2x+6+5

step 3

y=-2x+11

therefore

In step 2, she didn’t use an x and y from the same coordinate pair

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3 years ago
Read 2 more answers
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