Complete the equation of the line whose y-intercept is (0,6)and slope is 3

Mathematics

1 answer:

inysia [295]3 years ago

6 0

Answer:

y = 3x + 6

Step-by-step explanation:

The equation of line is given as:

y = mx + b

Where

m is the slope, and

b is the y-intercept (y-axis cutting point)

Given the slope is 3, we substitute 3 into m
Given y-intercept is (0,6), we say that x = 0 and y = 6, the intercept (b) is basically 6. So we substitute 6 into b.

Now, we have our values, substituting, we get:

y = mx + b

y = 3x + 6

This is the equation of the line.

You might be interested in

There are 12 baseball trading cards in 4 packages. each package has the same number of cards. Write a rule in words for the numb

Tamiku [17]

Answer:

Rule in words:

The number of packages Justin needs to buy to get x cards is x divided by 3.

Rule as an algebraic expresssion:

$y=x/3$

Explanation:

This is a direct variation problem.

Since each package has the same number of cards, the number of cards is proportional to the number of packages.

12 baseball cards in 4 packages means that there are 12/4 = 3 cards per package, so:

The number of cards is 3 times the number of packages.

The number of packages is the number of cards divided by the number of 3.

So, the rule in words for the number of packages Justin needs to buy x cards is one third of x. This table may help you to visualize it:

Number of packages: 1 2 3 4 5

Number of cards: 3 6 9 12 15

To find the algebraic expression that describes the same rule, you can set the following proportion:

$\frac{12}{4} =\frac{x}{y}$

Where y is the number of packages and x is the number of cards.

And from that you solve for y:

$\frac{12}{4} =\frac{x}{y}\\ \\ 12y=4x\\ \\ y=4x/12\\ \\ y=x/3$

8 0

4 years ago

Which graph corresponds to the function f(x) = x2 + 4x – 1?

Leona [35]

Answer:

See below

Step-by-step explanation:

I don't know if this helps you, but I wanted to get you an answer as quickly as I could in case you needed it really soon. This is what a graph of this function would look like. Choose the answer that looks like this one.

I really hope this helps!