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Licemer1 [7]
3 years ago
12

Find the equation of the line

Mathematics
1 answer:
Elis [28]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 2 ← is in slope- intercept form

with slope m = 6

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{6}, thus

y = - \frac{1}{6} x + c ← is the partial equation

To find c substitute (6, - 2 ) into the partial equation

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = - \frac{1}{6} x - 1 ← equation of line

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Step-by-step explanation:

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The value of x is 0.5

The value of y is 0.8

The value of z is 0.9

Step-by-step explanation:

* Lets explain how to find the values of x , y and z

- <u><em>From the attached figure</em></u>

# l_{1} and l_{2} intersect each other at a point

- When two lines intersect each other at a point they formed

 congruent vertical opposite angles

∴ The angle of measure (50z + 13)° = the angle of measure (80z - 14)°

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∴ 50z + 13 = 80z - 14

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- <u><em>From the attached figure</em></u>

# The angles of measures (50z + 13)° and (45x + 19/2)° have sum

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# There is a ray perpendicular to line l_{1}

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- Multiply both sides by 2

∴ 225y = 180

- Divide both sides by 225

∴ y=\frac{180}{225}=\frac{4}{5}=0.8

* The value of y is 0.8

8 0
3 years ago
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