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Mathematics 19 Online
OpenStudy (tishockjo):

What is the slope of line m? picture--> http://static.k12.com/calms_media/media/1299000_1299500/1299411/1/a11c760dca89e9a18f19e938a970723a023fd8b8/144240.jpg A. - 1/3 B. 3 C. -3 D. 1/3

OpenStudy (mathstudent55):

You can find the line using two points on the line. There are two given points with their coordinates. Can you write the coordinates of both points below?

OpenStudy (tishockjo):

(2,0) and (0,6) @mathstudent55

OpenStudy (larseighner):

slope is rise to run.

OpenStudy (mathstudent55):

Good. To find the slope using two points, first, subtract the two y-values. What do you get?

OpenStudy (mathstudent55):

BTW, it's (0, -6). Be careful. It's hard to see the negative sign on the -6.

OpenStudy (tishockjo):

6

OpenStudy (mathstudent55):

Ok. Now subtract the x-values in the same order.

OpenStudy (tishockjo):

2

OpenStudy (mathstudent55):

Good. Now divide the difference in y by the difference in x. That is the slope of line m.

OpenStudy (texaschic101):

slope = (y2 - y1) / (x2 - x1) (2,0)..x1 = 2 and y1 = 0 (0,-6)...x2 = 0 and y2 = -6 now sub slope = (-6 - 0) / (0 - 2) can you finish ?

OpenStudy (tishockjo):

=3

OpenStudy (mathstudent55):

The slope of the line containing the points \((x_1, y_1) \) and \((x_2, y_2) \) is \(m = \dfrac{y_2 - y_1}{x_2 - x_1} \) The important this is that when you subtract the y- and x-coordinates, you need to do both subtractions in the same order.

OpenStudy (mathstudent55):

Correct.

OpenStudy (texaschic101):

WHOOP...WHOOP...WHOOP...you got it :)

OpenStudy (tishockjo):

thank you guy:)

OpenStudy (mathstudent55):

You're welcome.

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