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Y_Kistochka [10]
3 years ago
8

What is the equation of the line that passes through the point (5, -6) and has a slope of 3/5

Mathematics
1 answer:
Marysya12 [62]3 years ago
8 0

Answer:

y = 3/5x + -9

or y = 3/5x - 9

Step-by-step explanation:

Since you are already given the slope for this equation all you have to do is plug in the ordered pair in this equation: y = mx+b

Here is what this equation stands for:

y = the y in the order pair you are given, in this case it would be -6

m = This is the slope, sometimes you may not be given the slope so you would have to find it, but in this case, you are given it, the slope is 3/5

x = the x in the ordered pair you are given, in this case it would be 5

b = This is the y-intercept, you will mostly be solving for this most of the time

(5,-6)

(x, y)

y = mx+b (Use this Formula)

-6 = 3/5(5) +b (The numbers have been substituted within the formula)

-6 = 3+b (simplify the equation by multiplying the slope by the x)

-6-3 = b ( once simplified the left side of the equation, go to the right side, but remember when you do that you have to change the sign because you are eliminating 3 on the left side completely, "what you do on one side, do it to the other side")

-9 = b (solve)

y = 3/5x + -9 (plug in the slope and B(y-intercept) within the formula - y = mx+b, make sure that you are not plugging in x and y for this step)

I Hope This Helped You Understand this Problem Better/More!!! Stay Safe and Healthy!

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Calculate the average time the car took to reach each checkpoint. Record the average time in Table D of your Student Guide. The
zhuklara [117]

The average time the car took to reach each checkpoint are:

  • 2.07
  • 3.16
  • 4.11
  • 4.92

<h3>Average time</h3>

Given:

Time  interval

1              2      3           4

2.02    3.17   4.12    4.93

2.05    3.07  3.98   4.81

2.15    3.25  4.23    5.01

Hence:

First quarter checkpoint

Average time= (2.02 + 2.05 + 2.15) / 3

Average time=6.22/3

Average time= 2.07s

Second quarter checkpoint

Average time= (3.17 +3.07 + 3.25) / 3

Average time=9.49/3

Average time = 3.16 s

Third quarter check point

Average time= (4.12 + 3.98 + 4.23) / 3

Average time=12.33/3

Average time= 4.11 s

Fourth quarter check point

Average time = (4.93 + 4.81 + 5.01) / 3

Average time=14.75/3

Average time= 4.917 s

Average time=4.92s (Approximately)

Therefore the average time the car took to reach each checkpoint are: 2.07, 3.16, 4.11, 4.92.

Learn more about average time here:brainly.com/question/19136062

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In a class full of men and women,
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Answer:

12

Step-by-step explanation:

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If mRST = 65, mQST = 2x, and mQSR = 3x – 10, what is the value of x?
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Write the equation of the line that passes through the points (3,-3) and (3,8). Put
Gala2k [10]

The equation of the line is the vertical line x = 3.

<h3>The gradient of the line</h3>

The gradient of the line between two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).

Since the line passes through the points (3,-3) and (3,8),  

  • (x₁, y₁) = (3,-3) and
  • (x₂, y₂) = (3,8).

So, substituting the values of the variables into the equation, we have

m = (y₂ - y₁)/(x₂ - x₁).

m = (8 - (-3))/(3 - 3).

m = (8 + 3)/0

m = 11/0

m = +∞

<h3>Equation of the line in point-slope form</h3>

The equation of the line passing through the point (x₁, y₁) in point-slope form is given by

y - y₁ = m(x - x₁) where

  • m = gradient = +∞ and
  • (x₁, y₁) = (3, -3)

So, substituting the values of the variables into the equation, we have

y - y₁ = m(x - x₁)

y - (-3) = +∞(x - 3)

y + 3 = +∞(x - 3)

y + 3/+∞ = (x - 3)

0 = x - 3

x = 3

So, the equation of the line is the vertical line x = 3.

Learn more about equation of a line in point-slope form here:

brainly.com/question/24907633

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