To find the equation of the line in slope-intercept form, y = mx + b, we can start by solving for the slope. The slope compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line.
The slope formula is:
m = (y2 - y1)/(x2 - x1)
We need to select 2 pairs of points from your given table.
Let (x1, y1) = (1, 8)
(x2, y2) = (2, 10)
Plug these values into the formula:
m = (y2 - y1)/(x2 - x1)
m = (10 — 8)/(2 — 1)
m = 2/1 or 2.
Therefore, the slope of the line is 2.
Next, we need to figure out what the y-intercept of the line is. The y-intercept is the point where the line crosses the y-axis. The y-intercept is also the value of y when x = 0.
Looking at your given table, you have an ordered pair, (0, 6) — this is the y-intercept. The y-coordinate (6) is the value of “b” in the slope-intercept form, y = mx + b.
Now that we have our slope (m) = 2, and y-intercept (b) = 6, we can write our equation as follows:
y = 2x + 6
Please mark my answers as the Brainilest if you find my explanations helpful :)
Answer:
I "turly" know the answer is 1/3, its quite easy actually
Step-by-step explanation:
Answer:
120 miles
Step-by-step explanation:
Formulate equations.
Distance = rate * time.
D1 = distance from home to airport
D2 = distance from airport to off
D1 + D2 = 150
30 x t1 + 60 x t2 = 150
Divide through by 30
t1 + 2t2 = 5 ----- equation 1
Entire trip took 3 hours
t1 + t2 = 3 -------------------- equation 2
Solve equation 1 and 2 and you get
t1 = 1 hour
t2 = 2 hour
D2 = t2 x speed = 2 x 60
= 120 miles.
Answer:
What is a life cap?
A life cap, or lifetime cap or rate cap, is the maximum amount that a borrower’s interest rate can increase over the term of the loan. The life cap represents either a total absolute rate or percentage change in the rate.
Deeper definition
Adjustable-rate mortgages (ARMs) usually come with a series of caps that limit how much interest can be charged to the borrower after the fixed-interest period ends. The initial adjustment cap limits the change in interest for the first time rates are adjusted, and there are subsequent, or periodic, interest caps to cover upcoming changes in the interest rate.
Life caps limit how much interest the lender can charge over the term of the entire term. Usually expressed as an absolute percentage, or a change in percentage, life caps may differ between lenders but should be spelled out in the loan agreement.
Lifetime caps represent the highest rate at which interest can be charged. However, ARM interest rates can actually decrease after the fixed-interest period. Additionally, lifetime caps don’t affect other costslike transaction and late fees, which are factored along with the interest rate into the annual percentage rate (APR).
Wondering how a life cap will affect your payments? Use Bankrate’s mortgage calculator to find out how much you’ll owe.
Life cap example
James acquired a loan from a bank with 7 percent as the initial interest rate. The bank allows adjustments every three months, but has a life cap of 3 percent. Therefore, the maximum interest rate Jack will ever have to pay is 10 percent.
There you go
Answer:
The answer is:
{0,1,4,34,123}
Step-by-step explanation:
A set is merely a collection of elements or members.
In the given question we have to arrange the elements in numerical order in proper set notation.
Set notation involves writing the elements with curly brackets.
Thus the answer would be:
{0,1,4,34,123}
These numbers are in order from least to greatest and within braces; this is set notation....
