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3 years ago

Write the equation of the line that is parallel to y = -2x - 9 and passes through the point (-2,-4).

Mathematics

1 answer:

Cloud [144]3 years ago

7 0

Answer: y=-2x-8

Step-by-step explanation:

Parallel lines need to have the same slopes but different y-intercept.

y=-2x -9 is parallel to y=-2x - 8

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67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

2) Determine the y-intercept

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

2 years ago

What is the GCF of 96x5 and 64x2?

Lady_Fox [76]

Answer:

Step-by-step explanation:

32 is the GCF of the whole numbers and up to x2 can go into both

The answer should be 32x2

Hope this helps

4 0

2 years ago

Read 2 more answers

Can anyone please help me

Serga [27]

Answer:

A,E,D

Step-by-step explanation:

since they are on square paper you count which triangles have the same length amount of squares and the count the amount of height squares.

hugs!

8 0

3 years ago

Mrs. Smith has a total of 25 kids in her class. There are 3 more boys than there are girls. Write a system of equations to model

Svetlanka [38]

Answer:

b + g = 25

b = g + 3

Step-by-step explanation:

Let b = number of boys.

Let g = number of girls.

"Mrs. Smith has a total of 25 kids in her class."

b + g = 25

"There are 3 more boys than there are girls."

b = g + 3

The system of equations is:

b + g = 25

b = g + 3

6 0

2 years ago

Which choice is equivalent to the quotient shown here when x>0

marusya05 [52]

I think b may not be right

5 0

3 years ago