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navik [9.2K]
3 years ago
5

Write an inequality to represent the graph.

Mathematics
1 answer:
Goshia [24]3 years ago
7 0

Answer:

y \leq -\frac{3}{4}x+2

y is less than or equal to negative three fourths times x plus 2

Step-by-step explanation:

step 1

Find the equation of the solid line

we have the coordinates (0,2) and (4,-1)

Find the slope m

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

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

substitute

m=\frac{-1-2}{4-0}

m=\frac{-3}{4}

m=-\frac{3}{4}

<em>Find the equation of the line in slope intercept form</em>

y=mx=b

where

m is the slope

b is the y-intercept (value of y when the value of x is equal to zero)

we have

m=-\frac{3}{4}

b=2 ---> is given

substitute

y=-\frac{3}{4}x+2

Remember that

The shading area is below the line

therefore

The inequality is

y \leq -\frac{3}{4}x+2

y is less than or equal to negative three fourths times x plus 2

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Look at the image below ↓

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_______________

   32  



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