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Leokris [45]
3 years ago
7

Which graph represents the solution set of the system of inequalities? {y<2x+2 x+y≥−3

Mathematics
1 answer:
swat323 years ago
7 0

y < 2x + 2

y-intercept = 2, m = 2 > 0 therefore the function is increasing (pic. 1 and 2)

x + y ≥ -3     |-x

y ≥ -x - 3

The slope intercept form: y = mx + b

m - slope, b - y-intercept

y-intercept = -3, m = -1 < 0 therefore the function is decreasing (pic. 1 and 2)

y < 2x + 2 shaded below the line (pic. 1)

y ≥ -x - 3 shaded above the line (pic. 1 and 2)

Answer: pic.1

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Answer: The equation is y = -6*x

Step-by-step explanation:

I suppose that we want to find the equation for a line that passes through the point (-1, 6) and the origin (remember that the origin is the point (0,0))

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is equal to:

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Now we know that our line passes through the points (0, 0) and (-1, 6), then the slope is:

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Then our equation is something like:

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To find the value of b we can use the fact that this line passes through the point (0, 0).

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7 0
3 years ago
Given the two points (2,4) and (-3,2), what is the slope of the line that goes through both of these points?
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