All categories

3 years ago

Write an equation in slope-intercept form for the line that satisfies the following condition.

Mathematics

2 answers:

juin [17]3 years ago

8 0

Answer:

d. y= 5x+18

Step-by-step explanation:

y=mx+b is slope intercept form

Now we plug in the information given to us which is slope(m) is 5 and a point (x,y) which is (2,28).

So by substituting we get 28=5(2)+b

simplify to 28=10+b and when we subtract 10 from both sides to isolate 'b', we get that b = 18.

So now we use the values of slope(m) and the y-intercept(b) to write the equation:

y=5x+18

Nana76 [90]3 years ago

8 0

Hey there! I'm happy to help!

Slope-intercept form is a way to write the equation of a line, and it is very useful. It is y=mx+b. This equation shows how y is related to x on a line. The m represents the slope, which is the incline of the line. The b represents the y-intercept, or where the line hits the y-axis.

If you find any value for x and plug it into the equation, you will figure out what y-value it matches on the line. If you had the equation you could draw the line by plugging in x-values and plotting points and connecting the dots!

Anyways, we have a slope of 5. This means that so far our equation looks like y=5x+b. It does not tell us what the y-intercept is, so we need to figure it out!

If we have the values for m, x, and b, we can solve for y. Well, we don't have b, but we do have values for y, x, and m, so we should be able to solve for b!

We will plug in our point (2,28) and solve for b!

28=5(2)+b

28=10+b

b=18

Our y-intercept is 18.

So, we can write this equation in slope-intercept form for the line that follows the condition of slope 5 and passing through (2,28) below.

y=5x+18

Therefore, our answer is d. 5x+18.

Now you can find the equation of a line given the slope and a point! Have a wonderful day! :D

You might be interested in

If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40 how much would it cost to provide coffee for the whole

N76 [4]

Answer:

It would cost 15600 to provide coffee for the whole year.

Step-by-step explanation:

Given:

If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40

Now, to find the cost to provide coffee for the whole year if you're place is open 5 days a week.

So, we have the unit rate, and we have to find the cost of 1.5 cup by multiplying 0.40.

1.5 cup of coffee cost $1.5\times 0.40=0.60.$

Thus, 1.5 cup cost 0.60.

If, 100 people drink 1.5 cups.

Then, total cost of 100 people drinking 1.5 cups of coffee = $100\times 0.60=60$

As, place is open 5 days a week.

So, to get the cost of coffee in 5 days of a week we multiply 5 by 60:

$5\times 60\\\\=300.$

Hence, the cost of coffee in a week is 300.

In 1 year there are 52 weeks.

Now, to get the cost for the whole year we multiply 52 by 300:

$52\times 300\\\\=15600.$

Therefore, it would cost 15600 to provide coffee for the whole year.

6 0

3 years ago

Read 2 more answers

Help me out please will mark you BRAINLIST

melisa1 [442]

Answer:

D. 18.68

Step-by-step explanation:

$27\div \frac{5}{3}-6+53\times (\frac{2}{5})^2$

Applying PEMDAS as order of operations.

Solving the exponents first $[(\frac{2}{5})^2=\frac{4}{25}]$

$=27\div \frac{5}{3}-6+53\times \frac{4}{25}$

Multiplying $[53\times \frac{4}{25}=8.48]$

$=27\div \frac{5}{3}-6+8.48$

Dividing $[27\div \frac{5}{3}=16.2]$

$=16.2-6+8.48$

Adding and subtracting.

$=18.68$

6 0

3 years ago

Find the values of the six trigonometric functions for angle 0. write as fractions

nasty-shy [4]

Answer:

I accidently clicked answer and it won't let me quit

Step-by-step explanation:

I'm not even in high school yet D: sorry

7 0

3 years ago

Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an add

Alchen [17]

Answer:

The amount driven would be 275, and the cost for both plans will be 77.75$

Step-by-step explanation:

make both equations

y=0.09x+53

y=0.13x+42

set them equal to each other and solve for x to get the distance

take that number and put it in one equation and solve for y to get the price of the plan for that value

6 0

2 years ago

3.4=21 2.5=7. 4.4=؟

Licemer1 [7]

Answer:

Step-by-step explanation:

From the given values

The possible logic could be

if x.y is given

then it is equal to $=\frac{(x+y)\times x}{y-3}$

For 1st example

3.4 $=\frac{(3+4) \times 3}{4-3} =\frac{21}{1} =21$

For 2nd example

2.5 $=\frac{(2+5) \times 2}{5-3} =\frac{7 \times 2}{2} =7$

⇒4.4 $=\frac{(4+4)\times 4}{4-3} =32$

4 0

3 years ago