SOLUTION: Please help me solve this line graph.. I've tried to figure it out myself, no use. "Which of the following equations describe the line shown below?"(3,2)and(-1,-4) I've pl

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Question 882803: Please help me solve this line graph.. I've tried to figure it out myself, no use.
"Which of the following equations describe the line shown below?"(3,2)and(-1,-4)
I've plotted it on this site hoping it would help me get a better idea of the question, https://www.mathway.com/
I was also wondering if you could explain what happens to x2 and y2, you see i arranged them in "slope formula" as my teachers call it (although i know there are many different names for it) and i understand where y1 and x1 go,but i don't understand what happens to x2 and y2. Also if you don't mind me asking where do you get and or find the m?

Found 3 solutions by Alan3354, josgarithmetic, Leaf W.:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
"Which of the following equations describe the line shown below?"(3,2)and(-1,-4)
I've plotted it on this site hoping it would help me get a better idea of the question, https://www.mathway.com/
I was also wondering if you could explain what happens to x2 and y2, you see i arranged them in "slope formula" as my teachers call it (although i know there are many different names for it) and i understand where y1 and x1 go,but i don't understand what happens to x2 and y2. Also if you don't mind me asking where do you get and or find the m?
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There's nothing following, so I can't pick an equation.
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(3,2)and(-1,-4)
m is the slope.
m = rise/run, or diffy/diffx
m = (-4-2)/(-1-3) = -6/-4
m = 3/2
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Then you can use y = mx + b and either point to find b, the y-intercept
Using (3,2)
2 = (3/2)*3 + b
b = -5/2
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then the eqn in slope-int form is
y = (3/2)x - 5/2

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The two given points form a line and they have a slope.
m=verticalChange%2FhorizontalChange
m=%282-%28-4%29%29%2F%283-%28-1%29%29
m=6%2F4=highlight%283%2F2%29, the slope.

Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
Hello. Good job on your attempts to solve the problem! It looks like you are on the right track. =)
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To find m (the slope), use the formula m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29. It does not matter which set of coordinates you choose as which; the result will end up the same.

y+-+2+=+%283%2F2%29%28x+-+3%29
y+-+2+=+%283%2F2%29x+-+9%2F2
y+=+%283%2F2%29x+-+5%2F2
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Therefore, your equation will be y+=+%283%2F2%29x+-+5%2F2