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3 years ago

A line has a slope of -8. what is the slope of the line parallel to it

1 answer:

4 0

Parallel lines have the same slope. Thus, the slope of a line parallel to a line that has a slope of -8 would be -8. Hope this helps! :)

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Pythagorean Theorem

pshichka [43]

Answer:

1) 6^2 + 8^2 = x^2

36 + 64 = x^2

100 = x^2

x = 10 feet

2) 15^2 + 8^2 = x^2

225 + 64 = x^2

x ^ 2 = 289

guy rope = 17 feet

Step-by-step explanation:

3 0

3 years ago

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A coordinate plane with a line passing through (negative 3, 2) and (0, 3)

Arturiano [62]

Let's check

$\\ \sf\longmapsto Slope=m=\dfrac{3-2}{0+3}=\dfrac{1}{3}$

Y intercept is 3✓

Now

let f(x) be y

$\\ \sf\longmapsto y=mx+b$

$\\ \sf\longmapsto y=\dfrac{1}{3}x+3=f(x)\checkmark$

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2 years ago

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Solve the following equation<br> Round to the nearest tenth<br> 5.8 + 5.9x = 6x + 5

Jlenok [28]

Answer:

x=8

Step-by-step explanation:

5.8+5.9x=6x+5

5.9x-6x=5-5.8

-0.1x= -0.8

x=8

7 0

3 years ago

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Write an equation that goes through (8,1) and is perpendicular to 2y + 4x =12

Serggg [28]

Answer:

2y -x + 6 = 0

Step-by-step explanation:

Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .

The given equation is ,

$\sf \longrightarrow 2y + 4x = 12 \\$

$\sf \longrightarrow 4x + 2y = 12$

Firstly convert this into slope intercept form , to find out the slope of the line.

$\sf \longrightarrow 2y = -4x +12\\$

$\sf \longrightarrow y =\dfrac{-4x+12}{2}\\$

$\sf \longrightarrow y =\dfrac{-4x}{2}+\dfrac{12}{2}\\$

$\sf \longrightarrow \red{ y = -2x + 6 }$

Now on comparing it to slope intercept form which is y = mx + c , we have ,

m = -2

And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,

$\sf \longrightarrow m_{\perp}=\dfrac{-1}{-2}=\red{\dfrac{1}{2}}$