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xxMikexx [17]
3 years ago
5

Find the equation of the line that is perpendicular to y = 1/4x – 2 and passes though the point (5, –2). A) y = –1/4x + 18 B) y

= –1/4x – 22 C) y = –4x + 18 D) y = –4x – 22
Mathematics
1 answer:
Mashcka [7]3 years ago
7 0

Since our line is perpendicular to this line, the slope of

our line is the negative reciprocal of 1/4, which is -4/1.

Remember, negative reciprocal is just a fancy way

of saying flip the fraction and change the sign.

So the slope of our line is -4/1 and we use this slope along

with our given point to write the equation of our line.

Start with the point-slope formula.

Y - y1 = m(x - x1).

~Substitute

Y - -2 = -4/1(x - 5).

Minus a negative is plus a positive.

Y + 2 = -4/1x + 20.

Subtract 2 from both sides.

Y = -4/1x + 18

So, our answer is C.

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5 0
2 years ago
What is the equation of the line that goes through the points (4,-1) and<br> (2,3)?
Arturiano [62]

Answer:

<u>y = -2x + 7</u>

Explanation:

<em><u>y = mx + b</u></em>

<em><u /></em>

<em>m = slope</em>

<em>b = y-intercept</em>

<em>y = a given y coordinate</em>

<em>x = a corresponding x coordinate</em>

<em />

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = \frac{y_2-y_1}{x_2-x_1} = \frac{3-(-1)}{2-4} = \frac{4}{-2} = -2

plug in the values to the equation <u>y = mx + b</u>

<u />

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

<u><em>y = -2x + 7</em></u>

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2 years ago
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Write the multiplicative inverse of 1.725. Enter your answer as a fraction in its simplest form. The multiplicative inverse of 1
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Multiplicative inverse is a number which when multiplied with the current number, the answer unit (that is, 1).

Now,
1.725 = 1725/1000 = 69/40

Inverting this and multiplying it with the results yields 1. That is,

69/40*40/69 = 1
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