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Find the equation of a line that has the same slope as y=9-9x and the same y-intercept as y=-10x-9

2 Answers

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Answer: y = -9x - 9

First, you need to put the two equations into slope intercept form (y=mx+b.)

1) y= -9x + 9

2) y= -10x - 9

First take the slope of #1

m = -9x

Then take the y-intercept of #2

b = -9

Now, put it into an equation.

y = -9x - 9

User Bryanzpope
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8.2k points
3 votes

Hi there!

FACTS :

The general form of a y-intercept equation is : y = mx + b

Where "m" is the slope of the line and "b" is the y-intercept.


STEPS TO ANSWER:

You want the same slope as this equation : y = 9 - 9x

This equation is the same as : y = -9x + 9

In this equation the slope is : -9


You want the same y-intercept as this equation : y = -10x - 9

In this equation the y-intercept is : -9


Your slope is -9 and your y-intercept is also -9.


This means that the equation of your new line would look like this :

y = -9x - 9


There you go! I really hope this helped, if there's anything just let me know! :)

User Praveen Vijayan
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8.0k points