2 Answers

LLIAJLbHOu · Answer 1 · 2021-10-28T18:27:12+0000

Answer:

Hello!!! Princess Sakura here ^^

Explanation:

Finding the slope:

Use this...

m=(y_(2) -y_(1) )/(x_(2) -x_(1) )

Plug in what you know...

$y_(2) =-5\\y_(1)=7\\x_(2) =0\\x_(1)=2$

Now solve...

(-5-7)/(0-2)=(-12)/(-2) =6

So the slope is 6.

Finding the y-intercept:

Use this...

y=mx+b

Plug in what you know...

(2,7) (I'll be using this pair but you can choose the other one)

$y = 7\\x = 2\\m = 6$

Now solve...

$7=6(2)+b\\7=12+b\\b=-5$

Writing the equation:

Use this...

y=mx+b

Plug in what you know...

$m=6\\b=-5$

Now write it out...

y=6x-5

That's it

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