Writing a Linear Inequality from a Graph
Writing a Linear Inequality from a Graph

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Which of the following inequalities matches the graph below?
(A) The correct inequality is not listed.
(B) 5x + y â‰¥ 1
(C) 5x + y â‰¤ 1
(D) 5x âˆ’ y â‰¥ 1

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Transcript

We are asked which of the following inequalities matches the graph. So what i’m gonna do is i’m gonna come up with an equation for this graph here in slope, intercept, form and, and then what i will do is i will i will solve for each of those a b c and d options and see which matches my Graph here so the the linear inequality here it goes through the origin. So, as far as y intercept is just plus 0 for the b value, so i just need to find my slope. What’S my rise and what’s my run so starting here, i have to rise. It looks as though 5 i could go up 5 and then over 1, so it does look like. I have a slope of 5 okay, so the slope is equal to 5 point. So there’s inequality here we can just say that the inequality is y is less than or equal to 5 x y is less than or equal to 5 x. So what i’m going to do now is see if any of these equations match is less than or equal to 5 x and we are…