Question

Which equation shows a y- intercept of -5

Answer 1

Hi there!  

»»————-　★　————-««

I believe your answer is:

Option B) $y=x-5$

»»————-　★　————-««  

Here’s why:  

• Most options (Second, Third, and Fourth) are in slope intercept form.

⸻⸻⸻⸻

$\boxed{\text{Slope-Intercept Form}}\\\\y=mx + b\\\\\boxed{\text{Key:}}\\\\m - \text{The Slope}\\\\b- \text{The Y-Intercept}$

⸻⸻⸻⸻

• We are looking for the equation where '-5' is in b's place.

⸻⸻⸻⸻

$\boxed{\text{Which equation shows a y-intercept of -5?}}\\\\---------\\\text{A}) -5y = x\\\\\text{This equation in slope-intercept form is }y=\frac{1}{5}x.\\\\\text{The 'b' part is not shown. This means that the line passes through the}\\\text{origin.}\\\\---------\\\\\text{B})\text{ }y = x-5\\\\\text{This option shows a slope of one and a y-intercept of -5.} \\\\\text{Therefore, \boxed{\text{option B is the correct answer.}}}\\\\----------\\\text{Option C has a y-intercept of 5, and Option D has a}$

$\text{y-intercept of 1.}$

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.