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e-lub [12.9K]
3 years ago
10

Only got 5 min left

Mathematics
2 answers:
Tems11 [23]3 years ago
8 0
I have graphed these for you, I am sure you can tell which is which now!

Hope this helps!

Whitepunk [10]3 years ago
8 0

Step 1

<u>Find the slope of the line</u>

Let    

A(-4,0)\\B(0,2)

we know that

the formula to calculate the slope between two points is equal to

m=\frac{(y2-y1)}{(x2-x1)}

substitute the values

m=\frac{(2-0)}{(0+4)}

m=\frac{(2)}{(4)}

m=\frac{1}{2}

Step 2

<u>Find the equation of the line</u>

we know that

the equation of the line into point-slope form is equal to

y-y1=m(x-x1)

we have

(x1,y1)=(0.2)

m=\frac{1}{2}

substitute the values

y-2=\frac{1}{2}(x-0)

y=\frac{1}{2}x+2

Step 3

<u>Find the linear inequality represented by the graph</u>

we know that

in the graph the solution is the shaded area below the solid line

that means

the inequality  is equal to

y \leq \frac{1}{2}x+2

therefore

<u>the answer is</u>

y \leq \frac{1}{2}x+2

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