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2 years ago

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?

2 answers:

7 0

A because (0,-6) is the y-intercept so you start at the point you know. Then because slope is a rise over run fraction the slope can also be written as 2/1 which is rise 2 over 1.

Semenov [28]2 years ago

4 0

Answer:

A is the correct option.

Step-by-step explanation:

The slope of the line is 2 and the y-intercept is -6.

y-intercept is the point where x is zero. Hence, the point is (0,-6)

When we graph a linear function by slope-intercept method, first of all we plot the y-intercept.

Hence, first of all we plot the point (0,-6)

Now, slope is given by

$\text{slope}=\frac{rise}{run}$

if rise is positive then we move up from the y -intercept and if negative then move down. We keep run always positive and hence we move right from the rise point.

$\text{slope}=2=\frac{rise}{run}$

rise = 2

run = 1

Rise is positive hence, we move 2 units up from the point (0,-6) and then move 1 unit right to get the next point. Then we draw a line passing through these points.

A is the correct option.

You might be interested in

Which function has a simplified base of 4^3√4?

IrinaVladis [17]

Answer:

The function is $f(x) = 4(\sqrt[3]{16} )^{2x}$ .

Step-by-step explanation:

We have to choose from options the exponential function which has a simplified base of 4∛4 i.e. ∛(256).

Now, the exponential function in the option III will be the answer.

The function is $f(x) = 4(\sqrt[3]{16} )^{2x}$ .

So, the base is $(\sqrt[3]{16} )^{2}$ = $\sqrt[3]{16^{2}} = \sqrt[3]{256} = 4\sqrt[3]{4}$ . (Answer)

The general formula of an exponential function is $f(x) = a(b)^{x}$ , where b is called the base of the function.

4 0

2 years ago

Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of Mike and

Yanka [14]

Answer:

The ratio is multiplying 1.6 so just pick all the proportional relationships where you have to multiply by 1.6.

Step-by-step explanation:

Proportional relationships man you have to multiply, but since I didn't know what you multiplied 5 to get to 8 I divided.

8÷5=1.6

And if you want to check your answer then multiply.

5×1.6=8

<u><em>Could I please have BRAINLIEST?</em></u>

5 0

2 years ago

A restaurant owner was experimenting with the taste of her homestyle lemon drink. She started with 60 litres of water. She remov

Burka [1]

Answer:

ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.

Step-by-step explanation:

In order to solve the final ratio of lemon juice to water, let us start by determining the initial ratio of pure lemon juice to water in the first mix. This is done as follows:

Total volume of mixture = 60 liters

initial volume of water = 60 liters

initial volume of lemon juice = 0 liters

1) She removed 15 liters of the water and replaced it with 15 liters of pure lemon juice.

Volume of water = 60 - 15 = 45 liters

Volume of lemon juice = 15 liters

$\therefore \frac{15}{60}\ = \frac{1}{4}\ of\ the\ first\ mix\ is\ lemon\ juice\\\frac{45}{60}\ = \frac{3}{4}\ of\ the\ first\ mix\ is\ pure\ water$

2) She removed 10 liters of the new mixture

Let us convert this amount removed into ratio:

$lemon\ juice\ = \frac{1}{4}\ \times 10 = \frac{10}{4} = \frac{5}{2}\ liters.\\ \therefore the\ owner\ removes\ \frac{5}{2}\ liters\ of\ pure\ lemon\ juice\\pure\ water\ = \frac{3}{4}\ \times 10 = \frac{30}{4} = \frac{15}{2}\ liters\\ \therefore\ the\ owner\ removes\ \frac{15}{2}\ liters\ of\ water\ from\ the\ first\ mix.$

New volumes of water and lemon juice after removing the 10 liters of mixture is calculated as follows:

$lemon\ juice\ = 15 - \frac{5}{2} = \frac{30-5}{2} = \frac{25}{2}\ liters\ of\ lemon\ juice\\pure\ water\ = 45 - \frac{15}{2} = \frac{90-15}{2} = \frac{75}{2}\ liters\ of\ pure\ water$

3) and replaced it with 10 liters of water.

$New\ volume\ of\ water\ = 10 + \frac{75}{2} = \frac{20+ 75}{2} = \frac{95}{2}\ liters$

The final ratio of lemon juice to water:

$\frac{25}{2} : \frac{95}{2}\\= 25 : 95\\= 5 : 19$

Therefore, the final ratio of pure lemon juice to water in the homestyle lemon drink is 5 : 19.

4 0

2 years ago

A deer population is estimated to be 4,350. The growth rate of the population is given by the equation y=4350(1.07) . What is th

HACTEHA [7]

Answer:

Step-by-step explanation:

Analyzing the growth rate of 1.07:

If the growth rate is a number greater than 1, we have exponential growth; if the growth rate is a number greater than 0 but less than 1, we have exponential decay.

Our growth rate is actually growth. But the rate of growth is not 107%. The rate of growth means that we already had 100% of the population and that it is growing by 7% each year. 100% + 7% = 107%; as a decimal, 1.07

So the rate of growth is 7%

8 0

2 years ago

A contractor has found that her cost for a certain construction job is subject to random variation. She believes its actual valu

bearhunter [10]

Answer:

Attached is the profit distribution plotted on the chart and also the detailed solution using excel

Step-by-step explanation:

To solve this problem we have to

create a column for number of counts ( 1,2,3........1000) bids
create a column for the cost to be incurred which is mostly dependent on the random number generated. the formula for that using excel is; 9000+ rand()*(11000-9000) for uniform distribution between the numbers
Four(4) more columns are generated for bids of competitors by using the formula: 10000+rand()*(3*10000-10000) this because the bids that will be submitted by others bidders will vary uniformly between her mean cost and 3 times her mean cost
Condition is checked to see if the lowest bid is. =IF(MIN(the 4 bids)>14000,1,0)
Next the same process is carried out for 13000 and 15000
The probability of winning is calculated in excel using this formula =Countif(value of step 4 for all the rows,1)/1000

8 0

2 years ago