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Mathematics 20 Online
zarkam21 (zarkam21):

How to find the slope of a line

OpenStudy (ellamoyseyuk):

you use the slope formula

OpenStudy (aaronandyson):

What exactly is the question here? >.<

OpenStudy (kinged):

\[m=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]

OpenStudy (kinged):

That's the second time I write the same equation for you in exactly two minutes.

zarkam21 (zarkam21):

Noo, I understand how to get the slope @Kinged

zarkam21 (zarkam21):

The question I am is asking for the slope of a line

OpenStudy (aaronandyson):

Is there any equation /co-ordinates given?

zarkam21 (zarkam21):

y=-5x

zarkam21 (zarkam21):

Since I already ask alot of questions, I wanted to do this on my own lol :) Thats why just needed guidance on finding the slop of a line

zarkam21 (zarkam21):

Slope

OpenStudy (mjdennis):

Two points make a line. So this equation makes the slope OF A LINE. Now, you can rearrange that equation into \[(y _{2} - y _{1}) = m(x _{2} - x _{1})\] And then, one of the points is unknown, it could be anywhere on the line. so instead of y-sub-2 and x-sub-2, make them variables x and y: \[(y - y _{0}) = m(x - x _{0})\] Finally, multiply: \[y - y _{0} = mx - x _{0}\] and move all the constants to one place, and call them "b"\[y = mx + (y _{0} - mx _{0})\] \[y = mx + b\]

OpenStudy (mjdennis):

This is the other form of a line - y = m*x + b In your case, b=0, so you should be able to look at your equation and discover m, the slope of this particular line.

zarkam21 (zarkam21):

So for y=-5x

zarkam21 (zarkam21):

I would just substitute it into the equation y=mx+b

OpenStudy (mjdennis):

Well, don't think of it as substituting, think of it as comparing. Compare y = (-5)*x + 0 to y = m*x + b If you write it like that, you can see what m, the slope is. Bonus: b is called the y-intercept. That means two things. When x=0, y=b, and it means y=b is the place where the line crosses the y-axis (or vertical axis)

zarkam21 (zarkam21):

Okay so I know that -5 is the slope definitely

zarkam21 (zarkam21):

Ohhh is the slope zero?

zarkam21 (zarkam21):

the slope is -5 and the yintercept is 0

zarkam21 (zarkam21):

@agent0smith

zarkam21 (zarkam21):

ohh its just -5 as the slope :)

OpenStudy (agent0smith):

Yes. For of an equation that LOOKS LIKE y = mx+b, the slope is the m, whatever number is in front of the x

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