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What is the slope of the given line: y = ( -1/2)x + 2 ?
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?
-1/2
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.
Look at Graph D. Post what you get for the coordinates of the y-intercept.
2
What are the coordinates of the red point?
Okay. (0,2) What are the coordinates of the x-intercept?
4
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.
Formula Attached
2 - 0 ------ = ? 0 - 4
0/-4
2 - 0 is not 0. Try again. The denominator is correct.
Two minus zero equals what?
Answer and we'll be finished in two seconds.
-2
2 - 0 ------ = 2/(-4) = -1/2 0 - 4
Is that ^^ the same slope as the slope of the given line: y = ( -1/2)*x + 2
@ILUVSOCCER
Yes. Thanks!
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