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Mathematics 8 Online
OpenStudy (pagen13):

Can someone help me with a few questions??! I have issues with slope!

OpenStudy (kropot72):

Can you post one of the questions.

OpenStudy (pagen13):

What is the slope of the line that passes through the given points? (3,2) and (5,12) a. 5 b. -5 c. -1/5 d. 1/5

hartnn (hartnn):

The slope of the line through points (x1,y1) and (x2,y2) is given by : \(\huge m=\frac{y_1-y_2}{x_1-x_2}\) now,just put the values and find m.

hartnn (hartnn):

in your question, x1= 3 y1 = 2 x2 =5 y2 =12

OpenStudy (pagen13):

so 2-12/3-5

hartnn (hartnn):

yes don't forget the brackets (2-12)/(3-5)

OpenStudy (pagen13):

-10/-2=5

hartnn (hartnn):

good! \(\huge \checkmark\)

OpenStudy (pagen13):

Can you help with some more?

hartnn (hartnn):

sure :)

OpenStudy (pagen13):

What is the graph of the equation? 2x-y=2

hartnn (hartnn):

it would be a line. to get the intercepts of that line plug in x= 0, find y plug in y= 0 find x

OpenStudy (pagen13):

OpenStudy (pagen13):

How do I plug it in? Sorry I am lost..

hartnn (hartnn):

2x- y =2 to get x intercept, we put y =0 2x = 2 x =1 so x intercept is 1,0 can you now find y intercept ? put x= 0 in 2x-y =2

OpenStudy (pagen13):

y=0

hartnn (hartnn):

-y = 2 so y =-2 y intercept is 0,-2

hartnn (hartnn):

now the points 1,0 and 0,-2 should lie on the graph. which graph has these 2 points?

OpenStudy (pagen13):

C

hartnn (hartnn):

correct :)

OpenStudy (pagen13):

Write an equation of the line, in point slope form that passes through the two given points: (-2,15) and (9,-18) a.y-2=-3(x-15) b.y-2=-1/3(x+15) c.y-15=-3(x+2) d.y-15=-1/3(x+2)

hartnn (hartnn):

first find the slope using the above formula. x1 = -2 y1 = 15 x2 = 9 y2 = -18

OpenStudy (pagen13):

-11/33=3

hartnn (hartnn):

-11/33 is -1/3

OpenStudy (pagen13):

Oh yeah sorry..

hartnn (hartnn):

so the equation would be y-y1 = m (x-x1) y -15 = -1/3 (x+2)

OpenStudy (pagen13):

Thank you! I have 8 more can you help? I am starting to understand!

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