Which equation describes a line with a slope of 1 and includes the point (1,2)
1 answer:
There are several different forms for the equation of a line. Point-Slope works pretty well for this one.
Remember, point-slope form looks like this:
Where the _1 means you sub in a point that matches that coordinate.
(x,y)
m, is the slope.
So an equation of the line would look like this:
(y - 2) = 1(x - 1)
The times 1 slope is implied, so you could also write it as:
(y - 2) = (x - 1)
(Removing the parenthesis is also acceptable, in this case)
Let's say you were not given it in point slope form. Then let's take the point slope form we made and put it into the slope intercept form by solving for y.
y -2 = x - 1
Solve for y by adding 2 on both sides.
y - 2 + 2 = x - 1 + 2
y = x + 1
Once again the 1 slope is implied. So these are both acceptable forms. I hope this helps!
Remember, point-slope form looks like this:
Where the _1 means you sub in a point that matches that coordinate.
(x,y)
m, is the slope.
So an equation of the line would look like this:
(y - 2) = 1(x - 1)
The times 1 slope is implied, so you could also write it as:
(y - 2) = (x - 1)
(Removing the parenthesis is also acceptable, in this case)
Let's say you were not given it in point slope form. Then let's take the point slope form we made and put it into the slope intercept form by solving for y.
y -2 = x - 1
Solve for y by adding 2 on both sides.
y - 2 + 2 = x - 1 + 2
y = x + 1
Once again the 1 slope is implied. So these are both acceptable forms. I hope this helps!
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Answer:
Option C. 50 square centimeters
Step-by-step explanation:
we know that
The surface area is equal to the area of four triangles plus the area of rectangle
so
Let x represent amount invested in the higher-yielding account.
We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be .
We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.
, where,
I = Amount of interest,
P = Principal amount,
r = Annual interest rate in decimal form,
t = Time in years.
We are told that interest rates are 6% and 10%.
Amount of interest earned from lower-yielding account: .
Amount of interest earned from higher-yielding account: .
Let us solve for x.
Therefore, the man invested $30,000 at 10%.
Amount invested in the lower-yielding account would be .
Therefore, the man invested $60,000 at 6%.