All categories

2 years ago

2. Write the equation of the line that passes through point (8, -2) and parallel to line y =-1/4x-2

Mathematics

1 answer:

Ludmilka [50]2 years ago

5 0

Answer:

y = -1/4x

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = -1/4x - 2. Its slope is -1/4. A line parallel to this one will also have a slope of -1/4.

Plug this value (-1/4) into your standard point-slope equation of y = mx + b.

y = -1/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (8, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = -1/4(8) + b

To find b, multiply the slope and the input of x (8)

-2 = -2 + b

Now, add 2 to both sides to isolate b.

0 = b

Plug this into your standard equation.

y = -1/4x

This equation is parallel to your given equation (y = -1/4x - 2) and contains point (8, -2)

Hope this helps!

You might be interested in

In the figure LMV is similar to UTK. what's the value of x the length of side LM?

Kipish [7]

To solve this problem, all we need to do is just set up a proportion. The two shapes are similar, which means that they are the same shape, but different sizes. Using the wording/letter arrangement in the problem, we can figure out which side of one triangle corresponds to which side of the other triangle.

Triangle LMV (with segments LM, MV, and VL) is similar to triangle UTK (with segments UT, TK, and KU).

Corresponding pairs:

LM(x) : UT(39)

MV(30) : TK(65)

VL : KU

However, we need only be interested in the first two pairs. Here is the proportion with letters:

LM / UT = MV / TK

and as numbers:

x / 39 = 30 / 65

Solve for x:

x / 39 = 30 / 65

Cross multiply:

(x)(65) = (39)(30)

Simplify:

65x = 1170

Divide:

65x/65 = 1170 / 65

Simplify:

x = 18

<h2>Answer:</h2>

The length of side LM (x) in triangle LMV is 18 units.

7 0

2 years ago

Need help with #9 please

zlopas [31]

The first, fourth and fifth ones are linear.

The second, third and sixth are all nonlinear.

You can tell this by the fact that their lead exponents are not 1.

3 0

3 years ago

A company's records indicate that on any given day about 1% of their day shift employees and 3% of the night shift employees wil

shutvik [7]

Answer

The answer and procedures of the exercise are attached in the following archives.

Step-by-step explanation:

You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.