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Mathematics 14 Online
OpenStudy (iluvsoccer):

http://prntscr.com/d50jol

Directrix (directrix):

What is the slope of the given line: y = ( -1/2)x + 2 ?

Directrix (directrix):

Think of the general slope-intercept form. y = m*x + b where m is the slope. y = ( -1/2)*x + 2 --> your equation --> what is the value of m in your equation?

OpenStudy (iluvsoccer):

-1/2

Directrix (directrix):

Yes. The slope is negative. That means as x gets bigger, y gets smaller. The line falls as you look at it from left to right. Rule out Graph A because it is rising as x gets bigger. Graph B, C, or D is the answer.

Directrix (directrix):

Look at Graph D. Post what you get for the coordinates of the y-intercept.

OpenStudy (iluvsoccer):

2

Directrix (directrix):

What are the coordinates of the red point?

Directrix (directrix):

Okay. (0,2) What are the coordinates of the x-intercept?

OpenStudy (iluvsoccer):

4

Directrix (directrix):

Yes. (4,0) So, the next task is to find the slope of the line determined by (0,2) and (4,0). We hope it will be -1/2.

Directrix (directrix):

Formula Attached

Directrix (directrix):

2 - 0 ------ = ? 0 - 4

OpenStudy (iluvsoccer):

0/-4

Directrix (directrix):

2 - 0 is not 0. Try again. The denominator is correct.

Directrix (directrix):

Two minus zero equals what?

Directrix (directrix):

Answer and we'll be finished in two seconds.

OpenStudy (iluvsoccer):

-2

Directrix (directrix):

2 - 0 ------ = 2/(-4) = -1/2 0 - 4

Directrix (directrix):

Is that ^^ the same slope as the slope of the given line: y = ( -1/2)*x + 2

Directrix (directrix):

@ILUVSOCCER

OpenStudy (iluvsoccer):

Yes. Thanks!

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