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erastovalidia [21]
3 years ago
6

What is an equation of the line that is perpendicular to -x+2y=4 and passes through the point (-2, 1)

Mathematics
1 answer:
Nana76 [90]3 years ago
5 0

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

x + 2y = 4

2y = - x + 4

y = -x/2 + 4/2

y = - x/2 + 2

Comparing with the slope intercept form, slope = - 1/2

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the given line.

Therefore, the slope of the line passing through (- 2, 1) is 2

To determine the intercept, we would substitute m = 2, x = - 2 and y = 1 into y = mx + c. It becomes

1 = 2 × - 2 + c = - 4 + c

c = 1 + 4 = 5

The equation becomes

y = 2x + 5

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3 years ago
The length of a rectangle is 4 units less than the width. The area of the rectangle is 21 units. What is the length, in units, o
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The formula of an area of a rectangle:

A = wl

We have l = w - 4 and A = 21.

Substitute:

w(w - 4) = 21       <em>use distributive property</em>

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w² - 4w - 21 = 0

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w(w - 7) + 3(w - 7) = 0

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l = w - 4 → l = 7 - 4 = 3

<h3>Answer: the length = 3 u.</h3>
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3 years ago
Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.
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Step-by-step explanation:

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