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Irina-Kira [14]
3 years ago
13

Which system of linear inequalities is represented by the graph?

Mathematics
2 answers:
Aloiza [94]3 years ago
6 0
The blue line has a slope of 2 and a y-intercept of +4. Its equation is
  y = 2x +4
The shaded area is above the line, so it is the boundary of the inequality
  y ≥ 2x + 4

The red dashed line has a slope of -1/3 and a y-intercept of 2. Its equation is
  y = -1/3x + 2
The shaded area is above the line, so it is the boundary of the inequality
  y > -1/3x + 2
or
  x +3y > 6

The graph seems to represent the inequalities
  x +3y > 6 and y ≥ 2x +4
Rom4ik [11]3 years ago
3 0

Answer:

So the answer is D

Step-by-step explanation:


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Find the equation of the line passing through (1,4) and (-2,-1).
wel

Answer:

y=5/3x+7/3

Step-by-step explanation:

Here are the points: (1,4) and (-2, -1)

let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)

label the points:

x1=1

y1=4

x2=-2

y2=-1

now subsitute into the equation

m=(-1-4)/(-2-1)

m=-5/-3

m=5/3

the slope of the line 5/3

Here's the equation so far:

y=5/3x+b (b is a place holder)

we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>

let's use (1,4) as an example

4=5/3(1)+b

4=5/3+b

subtract 5/3 from both sides

7/3=b

Now, put it all together:

y=5/3x+7/3

Hope this helps!

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Answer:

5

Step-by-step explanation:

i did the math

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Step-by-step explanation:

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