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Irina-Kira [14]
4 years ago
9

Find an equation of the line that (a) has y-intercept of -8 and (b) is parallel to the line 6 x − 1 y = 7 6x-1y=7 . Write your a

nswer in the form y = m x + b y=mx+b .
Mathematics
1 answer:
faust18 [17]4 years ago
7 0

Answer:

The equation of the line in the slope-intercept form is:

\:y=6x-8

Step-by-step explanation:

The slope-intercept form of the equation of a line is

y\:=\:mx\:+\:b

As y intercept is -8, we have

y\:=\:mx\:-8

Since the line is parallel to 6x-y=7, then it has the same slope.

Let's put this equation in y\:=\:mx\:+\:b  form and find the slope

6x-y=7

y=6x-7

Thus, the slope is :

m = 6

Now we can finish the equation of the line in the slope-intercept form

y\:=\:mx\:+\:b

\:y=6x-8           ∵ m = 6, b = -8

Therefore, the equation of the line in the slope-intercept form is:

\:y=6x-8

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During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50. Declan spent ​$10 and bought a total of 6 ste
Airida [17]

Answer:

Step-by-step explanation:

During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50. Declan spent ​$10 and bought a total of 6 steaks and watermelons. How many of each did he ​buy?

Let us represent

Steaks = x

Water melons = y

Our system of equations is given as:

x + y = 6.. Equation 1

x = 6 - y

During a sale at the market​, steaks sold for ​$2 and watermelons sold for ​$1.50.

$2× x + 1.5 × y = $10

2x + 1.5y = 10... Equation 2

Substitute

2(6 - y) + 1.5y = 10

12 - 2y + 1.5y = 10

12 - 10 = 2y - 1.5y

2 = 0.5y

y = 2/0.5

y = 4

7 0
3 years ago
The width of a rectangular room is 55% of its length. The length of the room is 20 feet. What is the area of the room?
Licemer1 [7]
W=20 feet = 55% thus 20/55*100= L=36.36 Feet Fromula A=w*l
A=727.2 Feet²
3 0
4 years ago
George is building a fence. He builds his fence at a constant rate of 1/3 section of fence every 1/2 hour. At this rate, which f
stiv31 [10]
Answer:
Fraction of fence = 2/3 which is approximately 0.67

Explanation:
We know that he finishes 1/3 of the fence in 1/2 an hour. To know the fraction he can finish in one hour, we will simply use cross multiplication as follows:
1/3 of the fence ...................> 1/2 an hour
?? of the fence ....................> 1 hour
Fraction of the fence = (1/3 * 1) / (1/2)
Fraction of fence = 2/3 which is approximately 0.67

Hope this helps :)
6 0
3 years ago
OMGGGG PLZZZZZ HELP!!!!!URGENT DUE TODAY OR IM DEAD!!
miskamm [114]
The answer is D. If you plug in (-2,8) into both equations you’ll get the same outcome. Which is 6 , -10.
5 0
3 years ago
2.435 as a mixed number is
Assoli18 [71]
2 87/200 hope this helps
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3 years ago
Read 2 more answers
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