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24 votes
24 votes
Write an equation of the line that passes through the point (-1, 4) with slope 2.

User Stanlekub
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1 Answer

10 votes
10 votes

Answer: y - 4 = 2 (x + 1)

Explanation:

There are in four general forms of equations:

  • Slope-intercept form: y = mx + b
  • Point-slope form: y - y₁ = m (x - x₁)
  • Standard form: Ax + By = C
  • Intercept form: x/a + y/b = 1

Here, we are going to use the point-slope form because the question has given us both the slope and one point.

Solve:

**Disclaimer** Since the question did not clarify, thus, I choose to use the point-slope form as it is the easiest method. However, if the question has a specified form of the equation, please tell me and I will redo it.

Given information

(x₁, y₁) = (-1, 4)

m = 2

Given expression

y - y₁ = m (x - x₁)

Substitute values into the expression

y - 4 = 2 (x + 1)

Hope this helps!! :)

Please let me know if you have any questions

User Dequis
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2.8k points