Answer:
1. y = 4x - 27
2. y = -4x - 15
Step-by-step explanation:
If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:
y - 5 = 4(x - 8)
We can distribute:
y - 5 = 4x - 32
y = 4x - 27
We are not given the slope-intercept form, so we must divide both sides by two to get it:
y = 1/4 x + 8
A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:
y - 5 = -4(x + 5)
We can distribute:
y - 5 = -4x - 20
y = -4x - 15
Answer:
y-intercept is -4
Step-by-step explanation:
(Refer to image)
Substitute the point and slope with the slope formula: y=mx+b and simplify
Answer:
Step-by-step explanation:
<u>Compound Interest</u>
This is a well-know problem were we want to calculate the regular payment R needed to pay a principal P in n periods with a known rate of interest i.
The present value PV or the principal can be calculated with
Solving for R
Where Fa is computed by
We'll use the provided values but we need to convert them first to monthly payments
Thus, each payment is
Answer
-1(3a-2)
Step-by-step explanation:
The answer is c. When the added number is outside of the radical it adds to the y, moving it up