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Write an inequality that represents the graph? Please. Please.

Write an inequality that represents the graph? Please. Please.-example-1
User Dawood
by
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2 Answers

3 votes

Answer:

2y < - x - 4

Explanation:

First find the equation of the line in the form y=mx+c (straight line)

The y-intercept is at -2 so c=-2.

For each 2 along the x-axis it goes 1 down the y-axis, so the gradient is -1/2, so m = -1/2

We now have y = -(1/2) x - 2

Try a coordinate, e.g. (0,0) one side of that line:

-(1/2) 0 - 2 = -2

-2 is less than 0, but we don't want (0,0) in the region, so we say

y < -(1/2)x - 2 or

2y < - x - 4

User AlexFZ
by
7.9k points
9 votes

Answer:

y
\leq
(1)/(2)x-2

it is less than because it is shaded down, its less than or equal to because the line is solid.

User Brendan Maguire
by
8.7k points

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