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dem82 [27]
2 years ago
11

i need someone to tell me if my parallel line equation is correct and to tell me what the perpendicular line equation is. Thank

you!

Mathematics
1 answer:
notsponge [240]2 years ago
3 0
The parallel equation is correct

to calculate the perpendicular line you know m=9 of your given line

for two perpendicular lines the following is always true:
m₁*m₂=-1
insert your m:
9*m₂=-1
m₂=-1/9

so y=(-1/9)x+b is some perpendicular line

insert the point (2,-3):
-3=(-2/9)+b
(-27/9)-(-2/9)=b
(-27/9)+(2/9)=b
(-25/9)=b

so y=(-1/9)x-(25/9) is perpendicular and passes the given point

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What is an equation of the line that passes through the points (-3, 8) and (4, 1)?
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Answer:

The equation of the line is:

y=-x+5

Step-by-step explanation:

Given the points

  • (-3, 8)
  • (4, 1)

Finding the slope between the points

\left(x_1,\:y_1\right)=\left(-3,\:8\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

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m=-1

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

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substituting the values m = -1 and the point (-3, 8)

y-y_1=m\left(x-x_1\right)

y-8=-1\cdot \left(x-\left(-3\right)\right)

y-8=-\left(x+3\right)

Add 8 to both sides

y-8+8=-\left(x+3\right)+8

y=-x+5

Therefore, the equation of the line is:

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2 years ago
PLEASE HELP ASAP! I AM TIMEDDDDDDDDDD
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Answer:

They answerd it

Step-by-step explanation: :(

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