Adrianna is attempting to write an inequality from a graph. she knows that the dash boundary line passes through the points (27,10) and (-45,-54). she also notices that the point (0,0) is a solution to this inequality. if adrianna must write the inequality in slope intercept from, what will she write?

we know the line passes through those points, so let's find the EQUATion of it firstly.

so, that's its EQUATion, now, we know the (0,0) is a solution of this inequality, namely the (0,0) point lies in the "true region" or will be the "shaded region" of the inequality, let's plug those values,

well, clearly  0 is not equals to -14....  we know 0 is greater, recall for the negative values, the farther from zero the smaller.

we also know that the line is dashed, meaning the borderline values are not included, so is either a > or <, thus since 0 > -14, then

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