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Vadim26 [7]
3 years ago
10

Write an equation for a line parallel and a line perpendicular to the given line

Mathematics
1 answer:
nikitadnepr [17]3 years ago
8 0
The remaining of them is to get the math app can’t do it for me
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Which graph below shows a line that contains ordered pairs that are solutions of the equation shown?
Vinvika [58]

Given:

The equation is:

y=-x+4

To find:

The graph of the line that contains ordered pairs that are solutions of the given equation.

Solution:

We need to find the graph of the given equation.

We have,

y=-x+4

At x=0, we get

y=-0+4

y=4

So, the x-intercept of the given equation is at point (0,4).

At y=0, we get

0=-x+4

x=4

So, the y-intercept of the given equation is at point (4,0).

From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).

Therefore, the correct option is C.

7 0
3 years ago
No work needed, just the answer!
bezimeni [28]

Answer:

The answer to your question is: x = - 102

Step-by-step explanation:

                                          - \frac{x}{6}  + 1 = 18

                                          - \frac{x}{6} = 18 - 1

                                          - \frac{x}{6}  = 17

                                          -x = 17 x 6

                                         -x = 102

                                          x = -102

5 0
3 years ago
Finding percents<br> 6% of 300
adell [148]
6% means 6/100 or 0.06

"of" means "times"

0.06 x 300 = 18
7 0
2 years ago
Read 2 more answers
Consider the line y = 7x-9.
KatRina [158]

y = \frac{-1}{7}x -\frac{8}{7} is the equation of the line that is perpendicular to this line and passes through the point (6, -2)

y = 7x - 44 equation of the line that is parallel to this line and passes through the point (6, -2)

<em><u>Solution:</u></em>

<em><u>Given that line is:</u></em>

y = 7x - 9

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + b ------ eqn 1

Where, "m" is the slope of line and "b" is the y intercept

On comparing eqn 1 with y = 7x - 9 we get,

m = 7

<h3><u>Find the equation of the line that is perpendicular to this line and passes through the point (6, -2)</u></h3>

We know that,

Product of slope of a line and slope of line perpendicular to given is always -1

Therefore,

7 \times \text{ slope of line perpendicular to it } = -1\\\\\text{ slope of line perpendicular to it } = \frac{-1}{7}

Now find the equation of line:

\text{ Substitute } m = \frac{-1}{7} \text{ and } (x, y) = (6, -2) \text{ in eqn 1}

-2 = \frac{-1}{7} \times 6 + b\\\\-2 = \frac{-6}{7} + b\\\\b = -2+\frac{6}{7}\\\\b = \frac{-14+6}{7}\\\\b = \frac{-8}{7}

\text{Substitute } m = \frac{-1}{7} \text{ and } b = \frac{-8}{7} \text{ in eqn 1}\\\\y = \frac{-1}{7}x -\frac{8}{7}

Thus the equation of line perpendicular to given line is found

<h3><u>Find the equation of the line that is parallel to this line and passes through the point (6, -2)</u></h3>

Slopes of parallel lines are equal

Therefore,  m = 7

<em><u>Substitute m = 7 and (x, y) = (6, -2) in eqn 1</u></em>

-2 = 7(6) + b

-2 = 42 + b

b = -44

<em><u>Substitute m = 7 and b = -44 in eqn 1</u></em>

y = 7x - 44

Thus equation of line parallel to given line is found

8 0
3 years ago
What is another name for plane Z?
lara31 [8.8K]
Other names for "plane Z" include:
___________________________
1) The "z-plane"; 
___________________________
2) The "complex plane";
___________________________
3) <span>the "domain of the </span>z<span>-transform"
_____________________________</span>
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2 years ago
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