You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.
In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is
Slope = (y₂ - y₁) / (x₂ - x₁) .
This is important, and you should memorize it.
#1). (8, 10) and (-7, 14)
Slope = (14 - 10) / (-7 - 8) = 4 / -15
#2). (-3, 1) and (-17, 2)
Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14
#3). (-20, -4) and (-12, -10)
Slope = [ -10 - (-4) ] / [ -12 - (-20) ]
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The word problem:
This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?
A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .
Now you have two points on THAT line too, and you can easily
find its slope.
Answer:
9
Step-by-step explanation:
n2-27=6n
Than n (exponet) 2 - 27 - 6n = 0
Now factor (n-9)(n+3)=0
Answer:
Option B.
Step-by-step explanation:
It is given that a graph titled Courses Completed versus Remaining Credits Needed to Graduate has courses completed on the x-axis and Credits need to graduate on the y-axis.
Points plotted are (4, 110), (8, 76), (16, 63), (20, 53), (24, 33).
Since, x-axis represents the courses completed, therefore the input, or independent variable is courses completed.
Since, y-axis represents the Credits need to graduate, therefore the output, or dependent variable is Credits need to graduate.
Therefore, the correct option is B.
Answer:
top right one
Step-by-step explanation:
To be honest there are lots of different reasons. You might want to try and talk to him to let him now how he is making you feel.
