All categories

3 years ago

Which of the following is an equation of the line with slope 5 that passes through the

Mathematics

1 answer:

uranmaximum [27]3 years ago

5 0

Answer:

y=5x-9

Step-by-step explanation:

You want to find the equation for a line that passes through the point (1,-4) and has a slope of 5.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 5. So you can right away fill in the equation for a line somewhat to read:

y=5x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,-4). When x of the line is 1, y of the line must be -4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (1,-4).

So, why not plug in for x the number 1 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,-4). y=mx+b or -4=5 × 1+b, or solving for b: b=-4-(5)(1). b=-9.

The equation of the line that passes through the point (1,-4) with a slope of 5

y=5x-9

You might be interested in

A man buys a car for rs.80000 and spends rs.20000 more for repairing. He sells it at rs.125000. Find his gain percent.

zubka84 [21]

Answer:

25%

Step-by-step explanation:

Given:

The man buys the car for 80000 units.

For repairing the car, the man spends 20000 units.

The man sells the car for 125000 units.

To find:

The gain percent of the man.

Solution:

The man buys the car for 80000 units.

For repairing the car, the man spends 20000 units.

∴ Total expenditure of the man for the car_

(80000 + 20000) units.

= 100000 units.

The man sells the car for 125000 units.

∴ Gain = (125000 - 100000) units

= 25000 units.

∴ Gain % = (25000×100)/100000

= (25000/1000)

= 25 %.

∴ The gain of the man is 25 %.

Answer:

His gain is 25%.

7 0

2 years ago

Read 2 more answers

A company will need 1.8 million 5 years from now to replace some equipment. Currently, the firm has some extra cash and would li

Nezavi [6.7K]

Given:

a.) A company will need 1.8 million 5 years from now to replace some equipment.

b.) The account pays 5.25 percent interest, compounded annually.

We will be applying the Compounded Interest Formula:

$\text{ A = P\lparen1 + }\frac{r}{n})^{nt}$

Where,

A=final amount

P=initial principal balance/money to initially deposit

r=interest rate (decimal)

n=number of times interest applied per time period

t=number of time periods elapsed (in years)

In this scenario, we are asked what is the amount of principal balance/initial deposit to make to get 1.8 million in 5 years.

Annually = n = 1

We get,

$\text{ 1,800,000 = P\lparen1 + }\frac{\frac{5.25}{100}}{1})^{(1)(5)}$ $1,800,000\text{ = P \lparen1 + 0.0525\rparen}^5\text{ = P \lparen1.0525\rparen}^5$ $\text{ P = }\frac{1,800,000}{(1.0525)^5}$ $\text{ P = 1,393,676.5175887556 }\approx\text{ 1,393,676.52}$

Therefore, the answer is 1,393,676.52

5 0

1 year ago

What three-dimensional shape is a basketball

Andrej [43]

Answer:

A sphere

Step-by-step explanation:

A sphere is a round three dimensional object with no sharp corners or vertexes. Since a basketball fits this criteria, it is a sphere.

8 0

3 years ago

(1 point) Let y=ex/5. Find the differential dy when x=2 and dx=0.2 Find the differential dy when x=2 and dx=0.01

Deffense [45]

$\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the Concept of the Differential Calculus.

Since, we know this is a definite calculus,

thus we get here as, by using the Chain Rule.

7 0

3 years ago

Lauren's scores on her math tests are, 93, 91, 98, 100, 95, 92 , and 96. What score could Lauren get on he next math test so tha

Ugo [173]

First you need to find the mean & median:
mean:
93 + 91 + 98 + 100 + 95 + 92 + 96 = 665
665 / 7 = 95
median:
91, 92, 93, 95, 96, 98, 100
95

Because the mean and median are the same, her next test score should be 95. The average of the current average and 95 (her next test score) is 95, so that will remain the same. If you add 95 to the median list,the median will still be 95. The same goes for the mean.Her next test score should be 95.

7 0

3 years ago