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Mathematics 11 Online
OpenStudy (conqueror):

How do I find slope?

OpenStudy (studygurl14):

Depends on the situation. Do you have a specific problem you need help with?

OpenStudy (mathmath333):

http://www.mathsisfun.com/geometry/slope.html

OpenStudy (studygurl14):

Slope = \(\large\frac{change\ in\ y}{change\ in\ x}\) or... \(\large\frac{rise}{run}\)

OpenStudy (studygurl14):

Or...say you have this equation of a line: y = 2x + 1 2 = slope Cause... y= mx + b m = slope

OpenStudy (anonymous):

m= y^2-y^1 / x^2-x^1 (x^1 =/ x^2)

OpenStudy (anonymous):

mx=b is your slope

OpenStudy (conqueror):

if I'm going to a hotel it costs $100 for 5 days you stayed there and $200 for 10 days you stayed there. And how do I turn that into a linear function?

OpenStudy (studygurl14):

Create these two points: (5,100) and (10,200)

OpenStudy (studygurl14):

Use the slope formula \(\large slope=\Large\frac{y_2-y_1}{x_2-x_1}\)

OpenStudy (studygurl14):

(5,100) and (10,200) \((x_1,y_1)\) and \((x_2,y_2)\)

OpenStudy (studygurl14):

Plug in and solve

OpenStudy (studygurl14):

That's the first step

OpenStudy (conqueror):

Slope = 20 ?

OpenStudy (conqueror):

@StudyGurl14

OpenStudy (studygurl14):

correct

OpenStudy (studygurl14):

Next, plug it into this equation: y = mx + b y = 20x + b Plug in the values of x and y from one of the coords into the formula and solve for b. Let's use (5,100) (100) = 20(5) + b Solve for b @Conqueror

OpenStudy (conqueror):

100 = 100 + b ???

OpenStudy (conqueror):

@StudyGurl14

OpenStudy (studygurl14):

right. so b = 0 Plug it back into the equation y= 20x + b y= 20x + 0 So...the equation is y=20x

OpenStudy (conqueror):

So that's all? That's the Linear function? y = 20x? @StudyGurl14

OpenStudy (studygurl14):

yep. that's all

OpenStudy (conqueror):

Thanks a lot and congrats on 99 :D

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