Question

Which equation represents the slope-intercept form of the line below?

y-intercept = (0,-6)
slope = -5
O A. y = -6x + 5
O B. y = -5x - 6
O C. y = -5x + 6
D. y = -6x-5

Answer 1

Hi there!

»»————-　★　————-««

I believe your answer is:

Option B:
`y=-5x-6`

»»————-　★　————-««

Here’s why:

• Recall that the slope intercept form of a equation for a line is:

⸻⸻⸻⸻

`\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}`

⸻⸻⸻⸻

We are given the information of:

• The slope, which is -5.
• The y-intercept, which is (0, -6).

⸻⸻⸻⸻

`\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}`

⸻⸻⸻⸻

Option B should be the correct answer.

»»————-　★　————-««

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