Given the point (1, 3) and a slope of 2, write an equation in point-slope form.
1 answer:
Answer:
y=2x+1
Step-by-step explanation:
Since we are given a point and a slope, we can use the point slope formula
m is the slope. In this case, m is 2.
y1 is the y coordinate of the point given. y1 is 3.
x1 is the x coordinate of the point given. x1 is 1
y-3=2(x-1)
Now, we need to get the equation into point slope form: y=mx+b
To do this, we need to get y by itself
First, distribute the 2 on the right
y-3=2*x+ 2*-1
y-3=2x-2
Add 3 to both sides
y-3+3=2x-2+3
y=2x+1
The equation is in y=mx+b form, so our final equation is:
y=2x+1
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That's a question about percentage.
One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.
Examples:
- 90% is equivalent to 0,90.
- 5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.
- 13.17% is equivalent to 0.1317.
- 245% is equivalent to 2.45.
If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.
Examples:
- 55.90% of 200 is equal to:
- 360% of 88 is equal to:
In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.
107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.
We know that , therefore, the total cost of the phone after tax is $246.1.
I hope I've helped. :D
Enjoy your studies. \o/