Hi there!
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I believe your answer is:
Option B) [tex]y=x-5[/tex]
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Here’s why:
- Most options (Second, Third, and Fourth) are in slope intercept form.
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[tex]\boxed{\text{Slope-Intercept Form}}\\\\y=mx + b\\\\\boxed{\text{Key:}}\\\\m - \text{The Slope}\\\\b- \text{The Y-Intercept}[/tex]
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- We are looking for the equation where '-5' is in b's place.
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[tex]\boxed{\text{Which equation shows a y-intercept of -5?}}\\\\---------\\\text{A}) -5y = x\\\\\text{This equation in slope-intercept form is }y=\frac{1}{5}x.\\\\\text{The 'b' part is not shown. This means that the line passes through the}\\\text{origin.}\\\\---------\\\\\text{B})\text{ }y = x-5\\\\\text{This option shows a slope of one and a y-intercept of -5.} \\\\\text{Therefore, \boxed{\text{option B is the correct answer.}}}\\\\----------\\\text{Option C has a y-intercept of 5, and Option D has a}\\[/tex]
[tex]\text{y-intercept of 1.}[/tex]
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Hope this helps you. I apologize if it’s incorrect.
