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DIA [1.3K]
2 years ago
9

What is the equation of the following line? Be sure to scroll down first to see all answer options. (-3, 1) (0, 0)

Mathematics
2 answers:
Travka [436]2 years ago
8 0

Answer: y=-\dfrac{1}{3}x

Step-by-step explanation:

Equation of a line that passes through two points (a,b) and (c,d) is given by :-

(y-b)=\dfrac{d-b}{c-a}(x-a)

The given points :  (0, 0) and (-3, 1)

Then, the equation of the line passing through these points :

(y-0)=\dfrac{1-0}{-3-0}(x-0)

\Rightarrow\ y=-\dfrac{1}{3}x

Hence, the required equation that passes through (0, 0) and (-3, 1)  is y=-\dfrac{1}{3}x.

klio [65]2 years ago
6 0
Umm.... Y = -1/3x?

Because it passes through the origin, so it's y = mx, and Rise is -3 and run is 1, and when you do rise over run, you get 1/-3 which is -1/3, which is the slope.
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Which point is a solution of x + 2y ≤ 4?
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What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap
Bond [772]

So the right options are:

y=-\frac{2}{5}x-1

2x+5y = -5

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Further explanation:

Given equation of line is:

2x+5y=10

We have to convert it into point-slope form

2x+5y=10\\5y=-2x+10\\Dividing\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+\frac{10}{5}\\y=-\frac{2}{5}x+2

The co-efficient of x is the slope of the line

So,

m= -\frac{2}{5}

As the required line is parallel to given line, it will also have same slope.

Let m1 be the slope of required line

Then the line will be:

y=m_1x+b

Putting the value of slope

y=\frac{2}{5}x+b

Putting (-5,1) in the equation to find the value of b

1=-\frac{2}{5}(-5)+b\\1=2+b\\b=1-2\\b=-1

Putting the values of slope and b in equation

y=-\frac{2}{5}x-1

Multiplying the whole equation by 5 will give us:

5y = -2x-5

2x+5y = -5

Another form of equation of line is Point-slope form

y-y_1=m(x-x_1)

Putting the values of slope and point in the equation, we get

y-1=-\frac{2}{5}(x+5)

So the right options are:

y=-\frac{2}{5}x-1

2x+5y = -5

y-1=-\frac{2}{5}(x+5)

Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

  • brainly.com/question/4464845
  • brainly.com/question/4522984

#LearnwithBrainly

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Answer:

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