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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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liberstina [14]

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A

Step-by-step explanation:

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Problem is, we don't know the height, only the slant length.  But we can use this to find the height.

If we cut a cross section down the middle of the pyramid, we get an isosceles triangle.  The base of the triangle is 24, and the legs are 37.

If we cut this triangle in half, we get two right triangles.  Each right triangle has a base of 12 and a hypotenuse of 37.

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