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.
If he sold 25 boxes in all and he sold 7 today then he would of sold 25 - 7 boxes yesterday. Josh sold 18 boxes yesterday.
Today = 7
Yesterday = 18
Total = 25
7 + x = 25, when x = Yesterdays sold boxes.
Hope this helps :)
Answer:
If the slope is positive it is increasing if the slope is negative it is decreasing :)
Example:
Y=mX+b
If m is positive it is a positive slope
Answer:
-3
Step-by-step explanation:
The average rate of change from point (x1, y1) to point (x2, y2) is given by ...
m = (y2 -y1)/(x2 -x1)
For the given points, this is ...
m = (2 -14)/(6 -2) = -12/4 = -3
The average rate of change on the interval is -3.
