Find the slope of the line with the given equation. Show your work. 6x – 2y = 18

1 answer:

7 0

Currently the equation 6x - 2y = 18 is in standard form. Convert the standard form equation into a slope-intercept form and we can find the slope easily.

Solve for y.

6x - 2y = 18
-2y = 18 - 6x <-- Subtract 6x from each side. This is to isolate the 2y term
2y / -2 = $\frac{18 - 6x}{2}$ <-- Divide each side by 2. This it to
get rid of the 2 coefficient.
y = -9 + 3x

Rearrange the right-hand side a bit.

y = -9 + 3x becomes y = 3x - 9

Now it is in slope-intercept form.
The slope is the coefficient of the x variable.

So, 3 is the slope.

You might be interested in

Chanda can bake and decorate 72 cookies in 2.5 hours. At this rate,how long will it take her to bake and decorate 108 cookies?

In-s [12.5K]

Hello there! A. 3.75 hours is your answer.

Okay, so lets start by finding the unit rate. To find the unit rate, we can use this formula: total ÷ time = unit rate.

total (72 cookies) ÷ time (2.5 hours) = unit rate. (how many cookies she can decorate and bake in an hour)

72 ÷ 2.5 = 28.8 cookies an hour

Now that we have this information, replace the 180 cookies in for the total number and use algebra to solve.

180 cookies ÷ x time = 28.8

Since 180 is a little more than 2 times 72, A would best fit since 3.75 is much closer to 2.5 than the other options. To check this, we can place 3.75 in for x in 180 ÷ x = 28.8.

180 ÷ 3.75 = 28.8.

So, this is your correct answer.

7 0

3 years ago

A ship travels 10 miles from Point A to Point B, makes a turn of 112, and travels 16 miles to Point C. If the ship travels direc

marin [14]

This is Pythagorean's Theorem, with one leg being 10 and the hypotenuse being 16. Using those values in the theorem looks like this:
$10^{2} + b^{2} = 16^{2}$
and $100+ b^{2} =256$
and $b^{2} =256-100$
so $b^{2} =156$
Take the square root of both sides to find that b = 12.5

8 0

3 years ago

What is 4/16 ÷ 3/4

Kobotan [32]

Answer:

4/12 simplified to 1/3.

Step-by-step explanation:

4/16 x 4/3 = 4/12

4/12 = 1/3

5 0

2 years ago

Read 2 more answers

The regular price of a child's entry ticket to a water park is $6 less than that for an adult's. The park offers half off all en

hjlf

Distribute +1
78=1/2x+x-6
combine like terms
1=(2/2)
(1/2)+(2/2)= 3/2
78=3/2x-6
Add 6 to both sides
84=3/2x
Divide by (3/2)
x=$56=adult ticket
Child ticket = x-6=56-6=$50
$50

7 0

3 years ago

Suppose an isosceles triangle ABC has A= pi/6 and b=5=c. What is the length of a^2.

ioda

5^2(2-sqrt3) is the answer here is the link to how to do it https://socratic.org/questions/suppose-an-isosceles-triangle-abc-has-a-30-and-b-c-5-what-is-the-leng...

5 0

3 years ago