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SOMEONE PLEASE HELP I CANT GET IT

SOMEONE PLEASE HELP I CANT GET IT-example-1

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Answer:
y=3x+9

Step-by-step explanation:
To answer this question, we first have to understand a few key concepts.

1) The equation given (y=3x+9) is written in slope-intercept form, which is y=mx+b.

Heres what the variables mean:
Y=the coordinate
M=the slope
X=the x coordinate
B=the y-intercept (the point on the line that intercepts the y-axis)

2) Parallel lines have the same slope. Using the given equation, we now know that the slope of line s is 3. Therefore, the slope of line t is also 3 (because they are parallel).

So now, this is our equation so far:
y=3x+b

All we need to do now is find b, which we can do by plugging in the coordinate (-6,-9) as the x and y variables.

y=3x+b
-9=3(-6)+b
-9=-18+b
Add 18 to both sides
-9+18=-18+b+18
9=b

And when we plug 9 into y=3x+b, we get:
y=3x+9

(And yes, they are pretty much the same line)

I hope this helps! Please comment if you have any questions.
User Larspars
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