Answer:
The graph is positive and would have a y intercept of 1 and a slope of 2 which means choose a point on the graph and add 2 to the y and 1 to the x and you should be at the next point on the line.
Step-by-step explanation:
y=mx+b
f(x)=y
m = slope
b = y intercept
First you need to make it look like y=mx+b
y = 2x - 1 + 2
y = 2x + 1
Now we can say,
m = 2
b = 1
or,
Slope = ![\frac{2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B1%7D)
y intercept = 1
Slope (m) = ![\frac{rise}{run}](https://tex.z-dn.net/?f=%5Cfrac%7Brise%7D%7Brun%7D)
So the numerator is the value your are going to go up or down along the graph and the denominator is the value of how far you are going to go left or right along the graph. If the slope is positive then the graph is inclining. If the slope is negative, the graph is declining.
Answer: See Below
Step-by-step explanation:
Line equation is y = ax +b. We need to solve for a and b
First we will solve for the slope (a)
Given that it is perpendicular to 2x - 6y = 12, we know that our slope a is the negative reciprocal of the slope of this line. Lets put this line in point-slope format.
2x - 6y = 12
-6y = -2x + 12
y = (1/3)x - 2
This line has a slope of 1/3 so our slope is the negative reciprocal of that. Our slope is -3
We can plug that slope into our line equation in place of a
y = -3x + b
Now we can plug in (3,6) to solve for b
y = -3x + b
6 = -3(3) + b
6 = -9 + b
15 = b
Therefore our line equation is:
y = -3x + 15
Answer:
Step-by-step explanation:
If x represents the amount invested at 7%, then the amount invested at 13% is x+300. Lydia's total interest is ...
0.07x +0.13(x +300) = 252
0.20x = 213 . . . . . subtract 39
x = 213/0.20 = 1065
Lydia has $1065 invested at 7% and $1365 invested at 13%.