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3 years ago

Write an equation in slope-intercept form for the line that passes through (4,-4) and parallel to 3 +4x=2y-9

Mathematics

1 answer:

ikadub [295]3 years ago

8 0

Answer:

y=-2x-12

Step-by-step explanation:

Make the equation into slope intercept form

-2y=-4x-12

divide by -2

y=2x+6

since the line is parallel the slope is the same

y=2x+b

plug in (4,-4)

-4=8+b

b=-12

y=-2x-12

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Mila [183]

Answer:

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Step-by-step explanation:

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2 years ago

The value of a car is $20,000. It loses 10.7% of its value every year . Find the approximate monthly decrease in value . Round y

jenyasd209 [6]

Answer:

$178.3

Step-by-step explanation:

The value of a car is $20,000

The car loses 10.7% of its value yearly

Since there are 12 months in a year then 10.7% can be represented as

10.7%/12

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Therefore the approximate monthly decrease in value can be calculated as follows

= $20,000×0.8916/100

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2 years ago

Brad says that if a second number is 125% of the first number than the second number must be 75% of the second number is he corr

elena-s [515]

Answer:

Incorrect.

Step-by-step explanation:

Let, the first number is x, and the second number is y. Given, the second number is 125% of the first number. So, the equation will be

y = 1.25 x

Or, y= 5/4x

Now, multiplying it with 4/5, we get, x= 4/5y

Or, x= 0.80 y

But, Brad is saying the first number must be 75% of the second number. But here we see that the first number is 80% of the second number. That's why Brad is incorrect.

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2 years ago

Which description best compares the graphs of these two functions?

s2008m [1.1K]

Answer:

1st option, they have the same y-intercept

Step-by-step explanation:

they do not have the same x-intercept

'A' is linear

'B' has a less steep slope

8 0

2 years ago

Consider the line y=4x-4.

erica [24]

9514 1404 393

Answer:

parallel: y = 4x -6
perpendicular: y = -1/4x +27/4

Step-by-step explanation:

If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...

y = mx +b . . . . . . . for slope m and y-intercept b

Solving for b gives ...

b = y -mx . . . . . . . subtract mx from both sides.

The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.

<u>Parallel line</u>

b = 6 -4(3) = 6 -12 = -6

y = 4x -6

Perpendicular line

b = 6 -(-1/4)(3) = 6 +3/4 = 27/4

y = -1/4x +27/4

4 0

2 years ago