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) ]
=========================================
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:
Percent Change Formula: [(new - old)/old] * 100
Step-by-step explanation:
New - old
80 - 20 = 60
Difference between new - old divided by old
60/20 = 3
Previous quotient times 100
3*100 = 300
Percent Change is 300%
Check your answer
300% of 20 is 60
20 + 60 = 80
Answer:
Step-by-step explanation:
We are given two points, the y - intercept and the x - intercept.
The y - intercept being: ( 0, -7 )
The x - intercept being: ( 1, 0 )
The equation of a line in slope - intercept form is:
y = mx + b, where m is the slope and b is the y - intercept.
We already have the y - intercept. So far we have:
y = mx - 7
What we're missing is the slope.
To find the slope, we can use this formula:
, where 
and 
are the x - coordinates of both points and 
and are the y - coordinates of both points.
We now have the missing piece, the slope, so the equation now is:
Answer:3t^2)^2. (3t2)2 ( 3 t 2 ) 2. Apply the product rule to 3t2 3 t 2 . 32(t2)2 3 2 ( t 2 ) 2. Raise 3 3 to the power of 2 2 . 9(t2)2 9 ( t 2 ) 2. Multiply the exponents in ...
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Step-by-step explanation:
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