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Lena [83]
3 years ago
15

Parallel to y=2/3x+6 through (-3, 6)

Mathematics
1 answer:
Lana71 [14]3 years ago
7 0

Answer:

y = (2/3)x + 8

Step-by-step explanation:

Parallel lines have the same slope. In the given equation, the slope is 2/3 so the slope of the parallel line will also be 2/3.

y = (2/3)x + ?

Plug in (-3, 6) for (x, y) in the equation.

6 = (2/3)(-3) + ?

6 = -2 + ?

? = 8

Final equation: y = (2/3)x + 8

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so the perpendicular slope would be 1/2.
8 0
3 years ago
How do you graph this f(x)= -3/2|x|+5 if x≤4​
LenaWriter [7]

Answer:

  see below

Step-by-step explanation:

I enter the equation into a graphing calculator and let it do the graphing.

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If you're graphing this by hand, you start by looking for the parent function. Here, it is |x|. That has a vertex of (0, 0) and a slope of +1 to the right of the vertex and a slope of -1 to the left of the vertex.

Here, the function is multiplied by -3/2, so will open downward and have slopes of magnitude 3/2 (not 1). The graph has been translated 5 units upward, so the vertex is (0, 5).

I'd start by plotting the vertex point at (0, 5), then identifying points with slope ±3/2 either side of it. To the left, it is left 2 and down 3 to (-2, 2). The points on the right of the vertex are symmetrically located about the y-axis, so one of them will be (2, 2).

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3 years ago
How many milliliters are in 30 liters? <br><br> 300<br> 3,000<br> 30,000<br> 300,000
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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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