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Arlecino [84]
3 years ago
11

Write the equation of the line that passes through the point (2, -1) and has a slope of -3.

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
7 0

Answer:

The equation of the line that passes  through the point (2, -1) and has a slope of -3 will be:

  • y = -3x + 5

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given

  • The point (2, -1)
  • Slope m = -3

substituting m = -3 and the point (2, -1) in the slope-intercept form of the line equation

y = mx+b

-1 = -3(2)+b

-1 = -6 + b

b = -1 + 6

b = 5

Thus, the y-intercept form of the line equation is b = 5

now substituting b = 5 and m = -3 in the slope-intercept form of the line equation

y = mx+b

y = -3x + 5

Thus, the equation of the line that passes  through the point (2, -1) and has a slope of -3 will be:

  • y = -3x + 5
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Step-by-step explanation:

Given,

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Multiplying Eqn 1 by 10

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Subtracting Eqn 3 from Eqn 2

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Putting y=11 in Eqn 1

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Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/4793866
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Answer:

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Step-by-step explanation:

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