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Nitella [24]
3 years ago
5

Describe and correct the error the student made when writing the equation of the line that passes through (-8,5)

Mathematics
2 answers:
Aleksandr [31]3 years ago
8 0

Answer:

B. On Pearson (-1/4) D on Egdenuity(-1/4)

pshichka [43]3 years ago
3 0

Option D (The student should have used  as the slope of the perpendicular line.) is correct.

Step-by-step explanation:

We need to identify the error that the student made in finding equation of the line that passes through (-8,5)  and is perpendicular to y = 4x + 2

The slope of the required line would me -1/m because both lines are perpendicular.

So, slope of new line will be: -1/4

because the equation of slope-intercept form is: y=mx+b where m is the slope

Now, for finding equation the student used point slope form i.e y-y_1=m(x-x_1)

where y_1 and x_1 are the points and m is the slope.

Putting values:

x_1=-8, y_1=5 and m=-1/4

y-5=-\frac{1}{4}(x-(-8))\\y-5=-\frac{1}{4}(x+8)\\y-5=-\frac{1x}{4}-2\\y=-\frac{1x}{4}-2+5\\y=-\frac{1x}{4}+3

This is the correct solution.

The student made error by using the wrong slope he used 2 instead of -1/4

in the step y-5 = 2(x-(-8))

So, Option D (The student should have used  as the slope of the perpendicular line.) is correct.

Keywords: Equation of line using Slope  

Learn more about Equation of line using Slope at:

  • brainly.com/question/4819659
  • brainly.com/question/4097107
  • brainly.com/question/1979240

#learnwithBrainly

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Jessica, Lauren and Kimmie were paid a total of $120 for babysitting in a ratio of 2:3:5. How much less did Jessica make than Ki
Tju [1.3M]

Answer:

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Step-by-step explanation:

Let

x -----> amount paid to Jessica

y  ----> amount paid to Lauren

z ----> amount paid to Kimmie

we know that

x+y+z=120 ------> equation A

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x=\frac{2}{3}y -----> equation B

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substitute equation B and equation C in equation A and solve for y

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<em>Find the value of x</em>

x=\frac{2}{3}(36)=24

<em>Find the value of z</em>

z=\frac{5}{3}(36)=60

therefore

The  amount paid to Jessica was $24

The amount paid to Lauren was $36

The amount paid to Kimmie was $60

To find out how much less Jessica did than Kimmie, subtract the amount paid to Jessica from the amount paid to Kimmie.

\$60-\$24=\$36

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Step-by-step explanation:

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Step-by-step explanation:

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