Answer:
y=-4/3+2
Step-by-step explanation:
Sin the slope is going up to the left we can already infer that it is going to be a negative. Still we do the equation y2-y1/x2-x1. In this case 0 is x1 and 2 is y1, 3 is x2, and -2 is y2. Once inserted into the equation you get -2-2/3-0 which equals -4/3 and the y intercept is 2 since thats the point shown were it intercepts the y-axis
ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.
First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:
y-y=m(x-x)
The first y is 8 and the second one is 2
The first x is 5 and the second one is 9
Plug it in:
8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2
*NOTE: another way to find m is by calculating it (y-y)/(x-x)
Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b
y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)
8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.
Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.
m=-3/2
b=31/2
We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)
SO OUR EQUATION IS=
y=(-3/2)x+31/2
Hope you understand this, feel free to ask me anything!
Answer: 36 years
Step-by-step explanation:
You can use the Rule of 72 to calculate how long it might take the house to double in value.
The Rule of 72 works by dividing 72 by the interest rate as a whole number and the result will be a rough estimate of the time in years it will take for the investment to double in size:
= 72 / 2
= 36 years
Answer:
15 miles
Step-by-step explanation:
Let 
be the miles in the circular park path, 
the time Louisa takes to finish and 
the time Calvin takes to finish both in hours.
Then , the longitude is equal to the velocity times the time used to finish. So
And the difference between Louisa's time and Calvin' time is 30 minutes, half an hour. So:
Three equations, three unknowns, the system can be solved.
Equalizing the equation with x :
In this last equation replace with the other equation and solve:
With Louisa's time find x:
Answer:
33.49 cubic units
Step-by-step explanation:
