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OleMash [197]
3 years ago
14

What is the best first step to write this linear equation in slope-intercept form?

Mathematics
1 answer:
drek231 [11]3 years ago
3 0

Answer:

subtract the term in "x" (1/7 x) on both sides of the equal sign

Step-by-step explanation:

Recall that in order to get a linear equation in slope-intercept form, all is needed is to solve for for "y" in the equation. That means isolate the variable "y" on one side of the equal sign.

In order to do such, all is needed in the given equation: \frac{1}{7} x+y=-8, is to subtract the term in "x" on both sides of the equal sign, so the term disappears on the left, leaving the variable "y" on its own:

\frac{1}{7} x+y=-8\\\frac{1}{7} x-\frac{1}{7} x+y=-8-\frac{1}{7}x\\ y=-\frac{1}{7} x-8

This last expression is now the equation of the line in slope-intercept form.

You might be interested in
I have one third gallon of juice and one sixth gallon. How many more gallons is need to make three gallons
charle [14.2K]

Answer:

2.5 gallons

Step-by-step explanation:

Make the denominators of the fractions the same and combine them

\frac{1}{3} =\frac{2}{6}

\frac{2}{6} +\frac{1}{6} =\frac{3}{6}

Then simplify the fraction

\frac{3}{6} =\frac{1}{2}

Then subtract how many gallons you have from how many you want

3 -\frac{1}{2} = 2\frac{1}{2}

You will need 2.5 gallons to make 3 gallons

3 0
2 years ago
Do 5/7 and 30/42 form a proportion
GREYUIT [131]
5/7
6*5/6*7
30/42

30/42 = 30/42

Yes, 5/7 and 30/42 form a proportion.
4 0
3 years ago
Which graph best represents the solution set to this system of inequalities?
Tomtit [17]

Answer:

(3/2, -1/2)

Step-by-step explanation:

add the 2 inequalities together.

you get 2X<3 so x<3/2. plug X back in and solve for y and you get y= -1/2

7 0
2 years ago
What is the slope of the line
Papessa [141]

Answer:

2/3

Step-by-step explanation:

rise over run is 2 over 3, and it is positive because the y increases as the x increases!

6 0
2 years ago
HELP URGENT PLEASE
ki77a [65]

Answer:

A)

15 hours

B)

108 hours

C)

2074.29 miles

Step-by-step explanation:

Under the assumption the earth is a perfect circle, then in one complete rotation about its axis ( 24 hours) the Earth will cover 360 degrees or 2π radians.

A)

In every 24 hours the earth rotates through 360 degrees ( a complete rotation). We are required to determine the length of time it will take the Earth to rotate through 225 degrees. Let x be the duration it takes the earth to rotate through 225 degrees, then the following proportions hold;

(24/360) = (x/225)

solving for x;

x = (24/360) * 225 = 15 hours

B)

In 24 hours the earth rotates through an angle of 2π radians (a complete rotation) . We are required to determine the length of time it will take the Earth to rotate through 9π radians. Let x be the duration it takes the earth to rotate through 9π radians, then the following proportions hold;

(24/2π radians) = (x/9π radians)

Solving for x;

x = (24/2π radians)*9π radians = 108 hours

C)

If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;

circumference = 2*π*R = π*D

                         = 7920*3.142

                         = 24891.43 miles

Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;

(24891.43miles)/(24 hours) = 1037.14 miles/hr

The distance covered by the point in 2 hours will thus be;

1037.14 * 2 = 2074.29 miles

5 0
3 years ago
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