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2 years ago

Which of the following could be the equation of a line perpendicular to the line 2x−5y=7?

Mathematics

1 answer:

yuradex [85]2 years ago

3 0

The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables or numbers.

Two lines are said to be perpendicular if the product of their slopes is equal to -1.

The slope of the line:

2x - 5y = 7

5y = 2x - 7

y = (2/5)x - 7

The slope of the line 2x - 5y = 7 is 2/5. The slope of the line perpendicular is -5/2

Hence:

The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b

Find out more on equation at: brainly.com/question/2972832

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xxTIMURxx [149]

Answer: A'=(1, 3); B'=(-3, 4);C'=(3, 0); D'=(-2, 5)

You can check the PNG attached as well.

Step-by-step explanation:

You need to represent the symmetry of every given points respet to the line

$y = 2$

In that case, the line beeing paralell to the x- axis, x- value of the symmetry is the same of the given point and y = 2 is the middle between both points.

Point A(1, 1)

$x_{A} = 1\\ x_{A'} = 1 \\\\\frac{y_{A} +y_{A'} }{2} =2\\y_{A'} = 4 - y_{A} = 4 - 1 = 3$

Point B(-3, 0)

$x_{B} = 1\\ x_{B'} = 1 \\\\\frac{y_{B} +y_{B'} }{2} =2\\y_{B'} = 4 - y_{B} = 4 - 0 = 4$

Point C(3, 4)

$x_{C} = 1\\ x_{C'} = 1 \\\\\frac{y_{C} +y_{C'} }{2} =2\\y_{C'} = 4 - y_{C} = 4 - 4 = 0$

Point D(-2, -1)

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3 years ago

Susie scored 85, 84,and 78 on three of the four math tests. if her average score for the four tests was 86. what was her score o

nata0808 [166]

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3 years ago

Read 2 more answers

Select the correct answer. A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? y =

aniked [119]

Answer:

The equation of the line is:

$y\:=\:\frac{3}{2}x\:-12$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given

y-intercept b = -12

slope m = 3/2

now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation

$y = mx+b$

$y\:=\:\frac{3}{2}x\:+\:\left(-12\right)$

$y\:=\:\frac{3}{2}x\:-12$

Therefore, the equation of the line is:

$y\:=\:\frac{3}{2}x\:-12$

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Answer:

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