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3 years ago

7

Find the slope of the line that is parallel and perpendicular -7x-2y=4

1 answer:

Rus_ich [418]3 years ago

5 0

$\bf -7x-2y=4\implies -2y=7x+4\implies y=\cfrac{7x+4}{-2}\implies y=\cfrac{7x}{-2}+\cfrac{4}{-2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{7}{2}} x-2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{7}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{7}}\qquad \stackrel{negative~reciprocal}{\cfrac{2}{7}}}$

now, what's the slope of a line parallel to that one above? well, parallel lines have exactly the same slope.

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Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points

pashok25 [27]

<h2>Answer:</h2>

y = 2

<h2>Step-by-step explanation:</h2>

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

<h3>Finding the Slope of the line:</h3>

$\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

$\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

<u>Substitute the coordinates of the given points:</u>

$\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10 }$

<u>Simplify the equation to determine the slope:</u>

$\implies \text{Slope} = \dfrac{0}{-3 - 10 }$

∴ 0 divided by ANY number is ALWAYS 0.

$\implies \text{Slope} =0$

<h3>Finding the equation of the line:</h3>

Point slope form formula: y - y₁ = m(x - x₁)

x₁ and y₁ are the coordinates of any given point.
m is the slope

<u>Substitute the values in the point slope form:</u>

$\implies \text{Equation of line:} \ y - y_{1} = m(x - x_{1} )$

$\implies \text{Equation of line:} \ y - 2 = 0(x - 10)$

<u>Simplify the equation to determine the equation of the line:</u>

∴ Any number multiplied by 0 is 0.

$\implies \text{Equation of line:} \ y - 2 = 0$

$\implies \text{Equation of line:} \ y = 0 + 2$

$\implies \text{Equation of line:} \ y = 2$

Thus, the equation of the line is y = 2.

5 0

3 years ago

Create a table for each set of values. Test each table for equivalent ratios to find which set of values describes the proportio

FrozenT [24]

<span>C) (3, 3.9)(65, 84.5)(24, 31.2) </span>

4 0

3 years ago

The fishbowl is shaped like a sphere the fishbowl has a diameter of 16 what is the closest value of water in the Fishbowl and cu

katovenus [111]

Answer:

2144.66 cubic inches

Step-by-step explanation:

The fishbowl is shaped like a sphere the fishbowl has a diameter of 16.

What is the closest value of water in the Fishbowl in cubic inches?

From the any question, we were told to find the closest value of the water in the fishbowl in cubic inches.

This means we are to find the volume.

The volume of a sphere is given as:

4/3πr³

We are given Diameter of the fish bowl = 16 inches

Radius = Diameter/2 = 16 inches/2

= 8 inches

Hence,

Volume of the sphere (Volume of water) = 4/3 × π × 8³

= 2144.66 cubic inches

3 0

3 years ago

PLEASEEE HELP MEEE!! I DONT UNDERSTAND AT ALL!!

jenyasd209 [6]

Domain: (-∞,∞)

Range: (3,∞)

x-intercepts: none

y-intercepts: (0,7)

Interval positive: (3,∞)

Interval negative: none

Interval increasing: (7,∞)

Interval decreasing: (-∞,7)

I'm not sure what the average rate of change over is though.

7 0

3 years ago

Graph the line that represents this equation:<br> y = -5.1 +2

Mrac [35]

That's for the equation I got from the picture

4 0

3 years ago