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3 years ago

Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).

Mathematics

1 answer:

vfiekz [6]3 years ago

5 0

Answer:

x = 4

Step-by-step explanation:

y = - 2 is the equation of a horizontal line parallel to the x- axis.

A perpendicular line is therefore a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (4, - 2 ) with x- coordinate 4 , thus

x = 4 ← equation of perpendicular line

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Papessa [141]

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Bill’s (10 - y) (10 - y)

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3 years ago

Write an equation in slope-intercept form for the line with slope -7 and y-intercept 6

Lera25 [3.4K]

Answer:

y=-7x+6

Step-by-step explanation:

slope =m

y intercept =b

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6 0

3 years ago

Read 2 more answers

Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear

Nikolay [14]

The graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}$

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

$\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)$

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option (B) is correct.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ1

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2 years ago

Which function has zeros at x = 10 and x = 2? A f(x) = x2 – 12x + 20 B f(x) = x2 – 20x + 12 C f(x) = 5x2 + 40x + 60 D f(x) = 5x2

kow [346]

You have to set it up as two problems then combined like terms then add them together

8 0

3 years ago

Read 2 more answers

Please Help!!! Will give brainliest

qaws [65]

36 cm^2

Step-by-step explanation:

Small window

Length: 2cm

Width: 2cm

Area: 4 cm^2

Big window

Length: 4cm

Width: 3cm

Area: 12 cm^2

Total area of the windows:

(Area of 4 small windows + area of 1 big window)

(4 cm^2 x 4 + 12cm^2)

= 28 cm^2

Above window (approx.)

Rectangle

Length: 3cm

Width: 2cm

Area: 6 cm^2

Triangle

Base: 1cm

Height: 1cm

Area: 2 x 0.5 cm^2 = 1 cm^2

Square (between the triangles)

Length: 1cm

Width: 1cm

Area: 1 cm^2

= 8 cm^2

TOTAL AREA OF ALL WINDOWS

= AREA OF 4 WINDOWS + AREA OF BIG WINDOW + AREA OF ABOVE WINDOW

= 16 cm^2 + 12 cm^2 + 8 cm^2

I hope I made the explanations clear enough to make it easier for you to understand!

8 0

1 year ago