All categories

3 years ago

What is the equation of the line whose y-intercept is 3 and slope is 1?

Mathematics

1 answer:

AlexFokin [52]3 years ago

3 0

Answer:

B. y = x + 3

Step-by-step explanation:

Let m represent the slope of the line.

Let c represent the y-intercept of the line.

Then the equation of the line with slope m and y-intercept c is given by $\[y=mx+c\]
$

In this case, the value of m is 1 and the value of c is 3.

Substituting the given values in the equation:

$\[y=x+3\]
$

Among the given options, option B represents the correct equation of the line.

You might be interested in

A=3 square root of 3 B=3 C=7 D=6

Neko [114]

Answer:

$3\sqrt{3}$

Step-by-step explanation:

This triangle is a 30°-60°-90° triangle, so you should always remember the rule shown in the picture. Because y is across from the 60° angle, it will be $x\sqrt{3}$ . 3 is x because it is across from the 30° angle, so y will be $3\sqrt{3}$ .

8 0

3 years ago

Read 2 more answers

Solve the systems equations for x and y and check: y=2x+10 x=3y

andriy [413]

For Y=2x+10 X=y/2 -5. Second x/3

6 0

2 years ago

The expression 50w+400 represents the amount of money Jenny has in her savings account after an unknown number of weeks. How muc

Sloan [31]

She originally had $400 in her bank account.

The 50w represents the amount she will put away each week.

3 0

3 years ago

1. A submarine is 40 meters below sea level. It goes up 12 meters, then goes down 30 meters. What is the submarine's new positio

expeople1 [14]

Answer:

Step-by-step explanation:

The submarine is below the sea level by 40 meters. Then, it goes up by 12. That means 40-12=28. The submarine goes 30m down again which means 28+30=58

7 0

3 years ago

Limit of x^2-81/x+9 As x goes toward -9

Semmy [17]

Hello,

Use the factoration

a^2 - b^2 = (a - b)(a + b)

Then,

x^2 - 81 = x^2 - 9^2

x^2 - 9^2 = ( x - 9).(x + 9)

Then,

Lim (x^2- 81) /(x+9)

= Lim (x -9)(x+9)/(x+9)

Simplity x + 9

Lim (x -9)

Now replace x = -9

Lim ( -9 -9)

Lim -18 = -18
_______________

The second method without using factorization would be to calculate the limit by the hospital rule.

Lim f(x)/g(x) = lim f(x)'/g(x)'

Where,

f(x)' and g(x)' are the derivates.

Let f(x) = x^2 -81

f(x)' = 2x + 0
f(x)' = 2x

Let g(x) = x +9

g(x)' = 1 + 0
g(x)' = 1

Then the Lim stay:

Lim (x^2 -81)/(x+9) = Lim 2x /1

Now replace x = -9

Lim 2×-9 = Lim -18

= -18

7 0

3 years ago