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Which inequality does this graph show?

Which inequality does this graph show?-example-1
Which inequality does this graph show?-example-1
Which inequality does this graph show?-example-2
User Squagem
by
3.7k points

2 Answers

7 votes
Short answer: D
Welcome
User Nick De Jaeger
by
4.2k points
10 votes

Answer:

D

Explanation:

We can find two clear points. (2.5, -0.5) and (4, 0). The slope is 1/3. So our equation is y=(1/3)x + ?. We can figure out the y-intercept by inputting a point. For example, if we input (4,0), we have 0=(4/3)x + ?. So our y-intercept is -4/3. Our equation is y=(1/3)x-4/3. Rearrange and we have y-(1/3)x=-4/3. We multiply 3 to get rid of fractions. 3y-x=-4. Therefore the equation of the line is 3y-x=-4. Now for the inequality part: The shading is BELOW and the line is bolded (not dotted) so it would be "less than or equal to". So, the inequality of the graph would be 3y-x≤-4.

User Mcint
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4.4k points