Answer: 4/7
This is a fraction
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The two points are (x1,y1) = (2,3) and (x2,y2) = (9,7)
Which breaks down to these four facts
x1=2
y1=3
x2=9
y2=7
Plug those values into the slope formula below and simplify
m = (y2 - y1)/(x2 - x1)
m = (7 - 3)/(9 - 2)
m = 4/7
The slope is 4/7
Side Note: slope = rise/run = 4/7 so rise = 4 and run = 7. Meaning that each time we go up 4, we also go to the right 7
Initial:
Changed to:
As you can see the change is: from -1 to +6.
In a equation as follow:
The k is a transformation that moves up or down the graph of the function. If k is changed to a less value the graph moves down, If k is changed to a greather number the graph moves up.
In this case the graph moves up
To find the number of units the graph moves find the difference betwwen values of k:
Then, the parabola y=x²-1 is moved 7 units up when it is changed to y=x²+6
Answer:
x=-8
Step-by-step explanation:
I always change the decimals into whole numbers by multiplying them by 10. If you do this, it is much easier to solve. All you do is multiply every term by 10.
the equation changes to
-5(x+3)-2x=41
-5x-15-2x=41
combine like terms
-7x-15=41
bring the 15 over to the 41
-7x=56
divide everything by 7
-x=8
change x to a positive
x=-8
Answer:
1
Step-by-step explanation:
identify two points on the graph:
1. (0, 4)
2. (-2, 2)
use slope formula: (y² - y¹) / (x² - x¹)
1. (2 - 4) / (-2 - 0) = -2 / -2 = 1
slope = 1
