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4 years ago

A line has a gradient of 4 and passes through the post (1,7). what is the equation?

Mathematics

2 answers:

shusha [124]4 years ago

7 0

Answer:

The equation is y = 4x+3

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 4x + b

Substitute the x and y value into the equation

7 = 4(1)+b

7 = 4+b

Subtract 4

7-4 =b

3=b

The equation is y = 4x+3

Lostsunrise [7]4 years ago

3 0

Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (1, 7) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = 4x + 3 ← equation of line

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2 years ago

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4 years ago

Valerie deposits $1,900 in an account that

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Answer:

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Compound Interest Rate Formula: $\displaystyle A = P(1 + \frac{r}{n})^{nt}$

A is final amount
P is principle amount
r is rate
n is compound rate
t is time (in years)

Step-by-step explanation:

Step 1: Identify Variables

P = $1900

r = 3% = 0.03

n = 4

Step 2: Solve for A

Substitute [CIRF]: $\displaystyle A = 1900(1 + \frac{0.03}{4})^{4(6)}$
(Parenthesis) Divide: $\displaystyle A = 1900(1 + 0.0075)^{4(6)}$
(Parenthesis) Add: $\displaystyle A = 1900(1.0075)^{4(6)}$
(Exponents) Multiply: $\displaystyle A = 1900(1.0075)^{24}$
Exponents: $\displaystyle A = 1900(1.19641)$
Multiply: $\displaystyle A = 2273.19$

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3 years ago