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Anestetic [448]
3 years ago
13

Line a is formed by using the points -1,6 and 3,-2 Line B is formed by using the point -3,0 and 5,4.What linear equations can be

used to represent each line
Mathematics
1 answer:
emmasim [6.3K]3 years ago
6 0

Answer:

y  =  -x  + 5

y  =  x/2  + 3/2

Step-by-step explanation:

First we calculate the slope as difference between coordinates

a) P₁ ( -1 , 6 )   P₂  ( 3 , 2 )

m =  Δy/Δx      ⇒  m  =  (  y₂ - y₁ ) / ( x₂ - x₁ )  ⇒  m = (2 -6 ) / (3 -(-1))

m =  -4 /4  

m = -1

Now we have:

y - y₁  = m ( x - x₁ )    ⇒  y  -  6  = (-1) ( x - (-1))

y  -  6  =  -1 * ( x + 1 )   ⇒  y  -  6  =  - x - 1

y  =  -x  + 5

In the second case

Q₁  ( -3 , 0 )  Q₂  ( 5  , 4 )

Again we calculate the slope

m  =  Δy / Δx    ⇒  m  =  ( 4 - 0 ) / ( 5 - (-3))    ⇒  m =  4 / 8   ⇒ m = 1/2

m  = 1/2  or  x = 0,5

And

y - y₁  = 1/2 ( x - x₁ )   ⇒  y  -  y₁  = 1/2 ( x - (-3))   ⇒   y  - 0 = 1/2 * x + 3/2

y  =  x/2  + 3/2

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Are there any answer choices?
5 0
3 years ago
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Anuta_ua [19.1K]
Lets say you have 5 apples, but the you give away 3 of them.
To work how many you have left you take away.
5-3 = 2

Lets apply this with fractions now.
You have 9/7 yard, but then you give away 7/20 yard.
Now you take them away:
9/7 minus 7/20 = 131/140

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8 0
3 years ago
What was the percent increase of China's
Rom4ik [11]

The percentage increase China's population from 1970 to 1995 is: 56.25%.

<h3>How to Calculate Percentage Increase?</h3>

Percentage increase = (Final Value - Original Value)/Original value × 100.

Given the following:

Original value = 0.8 billion

Final Value = 1.25 billion

Final Value - Original Value = 1.25 - 0.8

Final Value - Original Value = 0.45

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4 0
2 years ago
What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?
HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points \left (x_{1},y_{1} \right ) and \left (x_{2},y_{2}\right )

Since from the graph the two points closest to the line are\left ( 10,36 \right ) and \left ( 22,12 \right ).

Equation of line with two points closest to the line :

                                                    y-y_{1}=m\cdot \left ( x-x_{1} \right )

where m is the slope.

First we find the slope(m)=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}  

m=\frac{12-36}{22-10}

on simplify we get,  m=-2.

Now, to find  the equation of the line:  y-y_{1}=m\cdot \left ( x-x_{1} \right )

y-36=\left ( -2 \right )\cdot \left ( x-10 \right )

Apply distributive property on right hand side, we get

y-36=-2\cdot x+20

Adding both sides by 36, we get

y=-2x+20+36

y=-2x+56.

The equation for the linear  model in the scatter plot obtained by the two closest point \left ( 10,36 \right ) and \left ( 22,12 \right ) closest to the line is,

y=-2x+56










7 0
3 years ago
Read 2 more answers
#1) Line j contains points (-3,5) and (6,-1). If line p is PERPENDICULAR to linej,
tia_tia [17]
First find slope of line j
(-1-5)/(6+3) = -6/9 = -2/3
Perpendicular = opposite sign and reciprocal slope

Solution: 3/2
5 0
3 years ago
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