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2 years ago

What is the slope of (-2, 2) and (3, 4)?

Mathematics

1 answer:

Pepsi [2]2 years ago

5 0

Answer:

2/5

Step-by-step explanation:

m = (2-4)/(-2-3) = 2/5

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As you can see, -5/4 is multiplied by x. Therefore, our slope is -5/4.

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Which equation shows a y- intercept of -5

Assoli18 [71]

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.

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