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2 years ago

Write the point slope of the equation of the line described show work.

Mathematics

1 answer:

yaroslaw [1]2 years ago

7 0

Answer:

y= -3/2x + 5/2

Step-by-step explanation:

<u>Given:</u>

Line y= -3/2x - 1 and point (3, -2)

Equation for the line parallel to the given that passes through the given point.

<h3>Solution</h3>

The given line has a slope of -3/2

The parallel line will have the same slope

<u>The point-slope form:</u>

y - y1 = m(x -x1)

y - (-2) = -3/2(x - 3)
y + 2 = -3/2(x - 3)
y = -3/2x + 9/2 - 2
y = -3/2x + 5/2

y = -1.5x + 2.5

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Nuetrik [128]

Answer:

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Step-by-step explanation:

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2 years ago

today only, a sofa is being sold at a 36% discount. The sale price is $560. what was the price yesterday?

pashok25 [27]

Answer:

Step-by-step explanation:

Let yesterday's price be x

Discount percentage = 36%

Sale price = $ 560

(100-36)% of x = 560

64 % *x = 560

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3 years ago

-2/5x - 1/2 + x = -40/11

IgorLugansk [536]

Answer: x = 6.56

Step-by-step explanation: -0.4x - 0.5 + x = 3.63

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-0.4x^2 = 4.13

0.63x = 4.13

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7 0

1 year ago

Write an equation and solve

erma4kov [3.2K]

10 divided by 2 minus 1 equals 4

3 0

1 year ago

Read 2 more answers

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

$m_ {1} * m_ {2} = - 1$

The given line is:

$5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3$

So we have:

$m_ {1} = \frac {5} {2}$

We find $m_ {2}:$ $m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}$

So, a line perpendicular to the one given is of the form:

$y = - \frac {2} {5} x + b$

We substitute the given point to find "b":

$-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2$

Finally we have:

$y = - \frac {2} {5} x-2$

In point-slope form we have:

$y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)$

ANswer:

$y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)$

3 0

2 years ago

Read 2 more answers