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kramer
2 years ago
10

Use the information given to enter an equation in standard form. Slope is 3, and (2, 7) is on the line.

Mathematics
2 answers:
MrRa [10]2 years ago
8 0

Answer:  y-3x=1

Step-by-step explanation:

Standard form :

Ax+By=C

We have a linear function y=kx+b ;

we also know its slope k=3 ; and that it passes through the point (2 ; 7 )

Then:

y=3x+1

now substitute the knowledge of the coordinates of the point

3\cdot 2+b=7  \\\\ b=7-6\\\\ \underline{b=1\ \ \ \ \  }

Then we get the function:

y=3x+1

Standard form :

y-3x=1

Lynna [10]2 years ago
7 0

Answer:

3x - y = -1

Step-by-step explanation:

Standard form of equation is Ax + By = C

y - y1 = m (x -x1)

y - 7 = 3 (x - 2)

y - 7 = 3x - 6

3x - y = -7 +6

3x - y = -1

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How to solve -8x=144
sp2606 [1]

Answer:

x=−18

Step-by-step explanation:

Let's solve your equation step-by-step.

−8x=144

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4 years ago
Alexandra scored 40 on an exam, receiving 3 points for each right answer and losing 1 point for each wrong answer. Had 4 points
vagabundo [1.1K]

Answer: there were 20 questions in the exam.

Step-by-step explanation:

Let x represent the number of right answers.

Let y represent the number of wrong answers.

Alexandra scored 40 on an exam, receiving 3 points for each right answer and losing 1 point for each wrong answer. It means that

3x - y = 40- - - - - - - - - - 1

Had 4 points been given for each right answer and 2 points deducted for each wrong answer, Alexandra would have scored 50. It means that

4x - 2y = 50- - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

6x - 2y = 80

4x - 2y = 50

Subtracting both equations, it becomes

2x = 30

x = 30/2

x = 15

Substituting x = 15 into equation 1, it becomes

3 × 15 - y = 40

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y = 45 - 40

y = 5

The number of questions in the exam is

x + y = 15 + 5 = 20

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