All categories

2 years ago

Write the equation of the line in slope intercept form that passes through the points (-1,1) and (2,13)

Mathematics

1 answer:

blsea [12.9K]2 years ago

8 0

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-1, 1) and (2, 13). Substitute:

$m=\dfrac{13-1}{2-(-1)}=\dfrac{12}{3}=4$

Therefore the equation of a line is

$y=4x+b$

Put the coordinates of the point (2, 13) to the equation of a line:

$13=4(2)+b$

$13=8+b$ <em>subtract 8 from both sides</em>

$5=b\to b=5$

<h3>Answer: y = 4x + 5</h3>

You might be interested in

Find the amount of money accumulated if you invested $25,000 at 4.3% interest for 8 years compounded continuously .

MArishka [77]

The appropriate formula for the accumulated amount (A) for a given principal (P), interest rate (r), and time period (t) is ...

... A = P·e^(rt)

Filling in the given numbers and doing the arithmetic, we get

... A = $25,000·e^(.043·8) ≈ $35,264.46

8 0

2 years ago

Which expression is equivalent to

nirvana33 [79]

For this case, we must find an expression equivalent to:

$\frac {-9x ^ {- 1} y ^ {- 9}} {- 15x ^ 5y ^ {- 3}}$

By definition of power properties we have:

$a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}$

Rewriting the previous expression we have:

The "-" are canceled and we take into account that:

$\frac {9} {15} = \frac {3} {5}$

So:

$\frac {3} {5x^5 * x ^ 1 *y ^ 9* y ^ {- 3}} =$

According to one of the properties of powers of the same base, we must put the same base and add the exponents:

$\frac {3} {5x ^ {5 + 1} * y ^ {9-3}} =\\\frac {3} {5x ^ 6 * y ^ 6}$

Answer:

$\frac {3} {5x ^ 6 * y ^ 6}$

Option B

3 0

2 years ago

Read 2 more answers

Given: m∠LOI=38° m∠JOP=84° Find: m∠JKP

grigory [225]

Answer:

84°

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.

Given that:

∠LOI=38°
∠JOP=84 °

As we can see from the figure that ∠JOP and ∠JKP are on the same segment JP. Hence, ∠JOP and ∠JKP are congruent and the angle of ∠JKP is 84°

8 0

2 years ago

Survey indicate that between 50% and 60% of computers have virus. If these results apply to a security agency of 1,200 agents ea

elena-14-01-66 [18.8K]

The answer is 600, which is B.

8 0

2 years ago

ambers starting salary with her new job will be 35,000 a year how much will she pay to the social security system for her first

anyanavicka [17]

I think it is 420,000

7 0

3 years ago

Read 2 more answers