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3 years ago

Write an equation for the line that is parallel to y = 2x + 6 and passes through (-1,5).

Mathematics

1 answer:

Fantom [35]3 years ago

6 0

Answer:

y=2x+7

Step-by-step explanation:

A linear equation is typically organized in the form y=mx+b, where m is the slope of the line and b is the y-intercept (the y-coordinate of the point on the line that crosses the y-axis).

Parallel lines <em>always</em> have the same slope. When we examine the given equation, y=2x+6, we can identify immediately that 2 is in the place of m, the slope. This means that the slope of the line we're trying to solve for is also 2. So far, our equation looks like this:

y=2x+b

The last thing we need to calculate is b, the y-intercept. We can do this by plugging in the given point (-1,5) as x and y.

y=2x+b

5=2(-1)+b

5=-2+b

Add 2 to both sides to isolate b

5+2=-2+b+2

7=b

Now that we know b, we plug that into our original equation and now we have a final equation of:

y=2x+7

I hope this helps!

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Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures cre

Andru [333]

Answer:

So when two lines intersect, it creates 4 angles. The angles that lie opposite to each other are congruent

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

Step-by-step explanation:

8 0

4 years ago

You order plant seeds from a catalog. Each packet cost 0.90 each. The shipping charge is 2.50. If you have 18.50 to spend, how m

kramer

<h2>Answer:</h2>

<h2>Step-by-step explanation:</h2>

Cost per Packet * Number of Packets + Shipping = Amount to Spend

0.90 * b + 2.50 = A

You can spend a maximum of $18.50

A < 18.50

Rearrange the formula to find b

Number of Packets = Amount to Spend - Shipping / Cost per Packet

18.50 - 2.50 = 16.00 / 0.9 = 17.7...

You can't have 0.7 of a packet so you have to round down to 17.

Now if you put it into the original formula:

0.90 * 17 + 2.50 = 17.80

And 17.80 is less than 18.50.

4 0

4 years ago

The base of a triangle is decreasing at the rate of 1 ft/sec, while the height is increasing at the rate of 2 ft/sec. At what ra

Vera_Pavlovna [14]

We are given with the rate of change of the base, db/dt equal to 1 ft/ sec and the rate of change of the height of the triangle, dh/dt equal to 2 ft/sec. b is 10 ft and h is 70 ft. Area of triangle is equal to A= 0.5 bh The rate of change of the area is equal to dA/dt = 0.5 b dh/dt + 0.5 h db/dt. Substituting, dA= 0.5*10*2 + 0.5*70 * 1 equal to 45 ft2 / sec.

3 0

4 years ago

Read 2 more answers

Find the area of each figure. Use 3.14 for x.

Serga [27]

8.10/2 + 2.3 = 46 total area is 46

6 0

3 years ago

I have no idea what to do, help :’)

Ksenya-84 [330]

Answer:

x = 52

Step-by-step explanation:

I have included a chart to identify which angles are congruent (only alternate exterior/interior and corresponding). Basically if they are not alternate exterior/interior or corresponding, then they add up to = 180 degrees.

So since these angles are same side interior, they add up to = 180 degrees. We can write this as: A + B = 180

A + B = 180

2x + 76 = 180

2x = 104

x = 52

I hope this helps!

6 0

2 years ago

Read 2 more answers