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alexandr402 [8]
3 years ago
15

Graph the linear inequality: y≥-2/3 x+2. If you wouldn't mind taking a picture of the graph its self that way I can see it.

Mathematics
1 answer:
Natalija [7]3 years ago
4 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

y\geq -\frac{2}{3}x+2

we know that

The solution of the inequality is the shaded area above the solid line y=-\frac{2}{3}x+2

The slope of the solid line is negative m=-2/3

The x-intercept of the solid line is (3,0) (value of x when the value of y is equal to zero)

The y-intercept of the solid line is (0,2) (value of y when the value of x is equal to zero)

using a graphing tool

see the attached figure

The solution is the shaded area

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Hello!

To find the line that is perpendicular to y = 3x - 2 and passes through the ordered pair (6, 8), we will:

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Let's remind ourselves of slope-intercept formula. Slope-intercept formula is y = mx + b, where m is the slope, and b is the y-intercept.

In the given equation, we know that 3 is slope. With that, we can find the negative reciprocal of that slope, and continue to step #2.

To find the reciprocal, we will need to flip our fraction. In this case, 3/1 = 3, so once we flip it, it is 1/3. Since it is the negative reciprocal, the fraction is a negative, so the negative reciprocal is -1/3.

Now, we will substitute the ordered pair into the slope-intercept formula with our new slope.

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