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alexandr1967 [171]
2 years ago
12

“Draw the graph of the line with equation y=3/4x-2”

Mathematics
1 answer:
Ugo [173]2 years ago
3 0

Step-by-step explanation:

You have multiple ways, all revolving around finding 2 points.

The easiest point to use is the y intercept (the value of y when x=0), and is the constant term, giving you (0; -2)

The second point can be found in a number of ways:

  • Look for the x intercept (when y=0), and you will get some point by solving for x;
  • put any value of x you haven't used so far (ie, 0), compute it, and you will find a second point.
  • plug a "smarter" value of x that will make computation easy: in this case you have a fraction, so I would pick the denominator to simplify: (you got \frac34, so x=4 \rightarrow y=\frac34(4)-2 = 3-2=1 giving a second point (4;1))
  • since the equation is in <em>slope-intercept </em>form, Just remember the slope tells you how many vertical units you move (numerator) when you move right the number of units in the denominator, with the sign telling you up or down: in our case you move 3 up (since it's positive) every 4 "steps" right.

In any case, the graph will look something like the one in the image

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2/6 is litterally right there cause it has seven lines and tge 0 doesnt count

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The third one is the answer for this question
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Allison was looking at a map with the following scale indicator. 2 inches = 6 miles
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answer: 9

the answer is 9 because 6 ÷ 2 = 3, and if you multiply 3 with 3, you get 9. you multiply the number 3 because you need to find out the distance in miles, and since in inches it is 3, you need to multiply by 3 because that is the formula to get miles.

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A SCHOOL IS PLANNING A FIELD TRIP. THERE ARE A TOTAL OF 611 STUDENTS AND 91 SEATS ON EACH BUS. HOW MANY BUSES ARE NEEDED TO TAKE
algol [13]

Answer:

About 7 buses.

Step-by-step explanation:

What you do is you will divide 611 by 91 to find your answer.

<em>611/91=6.714</em>

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3 years ago
Find the slope of the line.
Archy [21]

Answer:

\displaystyle m=0.8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  1. Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (4, 1.2)

Point (10, 6)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute [SF]:                    \displaystyle m=\frac{6-1.2}{10-4}
  2. Subtract:                              \displaystyle m=\frac{4.8}{6}
  3. Divide:                                 \displaystyle m=0.8
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3 years ago
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