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Mathematics 21 Online
OpenStudy (anonymous):

what is the slope of the line.

OpenStudy (anonymous):

OpenStudy (anonymous):

@Ashes.boom

OpenStudy (anonymous):

hello

OpenStudy (ashes.boom):

Hey! I found it sorry that took so long

OpenStudy (ashes.boom):

Do you remmeber the equation to find the slope of a line?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

mx +b

OpenStudy (ashes.boom):

that is slope intercept form which is what we need but to find the slope you use a different formula. You use y2 - y1 / x2 - x1

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

im confused what the answer

OpenStudy (ashes.boom):

so just pick two points on the line that is graphed and tell me what they are okay

OpenStudy (anonymous):

is it 3 and 1

OpenStudy (ashes.boom):

umm slope is normally going to be a fraction like a number over a number so did you mean 3/1

OpenStudy (anonymous):

yup

OpenStudy (ashes.boom):

so if you use the points on the line that they gave you which were (1, 4) (2, 1) can you see where those are?

OpenStudy (anonymous):

yup

OpenStudy (ashes.boom):

use them in your equation to find the slope. The point closest to the left is the first point so the x and y values for that one will be x1 and y1 the other point will be x2 and y2

OpenStudy (ashes.boom):

so 1, 4 is the 1 point okay and the other is the second then when you put them into the equation you have 1 - 4 / 2 - 1

OpenStudy (ashes.boom):

right?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

-3,3 1/3,-1/3 are the options

OpenStudy (ashes.boom):

yea we havent finished yet though if you simplify what i wrote you get -3/1 which is -3. okay?

OpenStudy (anonymous):

oh srry

OpenStudy (anonymous):

your right i just figured that out

OpenStudy (ashes.boom):

its okay haha it makes sense tho right?

OpenStudy (whpalmer4):

Take two points on the line where you can easily find their coordinates (the two red dots would be excellent choices here). Call those points \((x_1,y_1)\) and \((x_2,y_2)\). The slope of the line (\(m\)) is given by \[m = \frac{y_2-y_1}{x_2-x_1}\]

OpenStudy (whpalmer4):

If you move from left to right, the slope is just the change of the height divided by the distance you moved to the right. If the line goes up as you move the right, the slope is positive, if it goes down the slope is negative. A perfectly horizontal line (parallel to x-axis) has a slope of 0, and a perfectly vertical line (parallel to y-axis) has an infinite or undefined slope.

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