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Indicate the equation of the given line in standard form, in the equation box below. The line through (2, -1) and parallel to a line with a slope of 3/4

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akposevictor

The equation of the line that passes through (2, -1) and is parallel to a line that has a slope of 3/4 is: 3x - 4y = 10.

What is the Equation of a Line in Standard Form?

The equation of a line can be expressed as, Ax + By = C, which is in standard form.

Given:

  • A point (a, b) = (2, -1)
  • Slope (m) = 3/4.

Plug the values into the point-slope form, y - b = m(x - a):

y - (-1) = 3/4(x - 2)

y + 1 = 3/4(x - 2)

4(y + 1) = 3(x - 2)

4y + 4 = 3x - 6

4 = 3x - 6 - 4y

4 + 6 = 3x - 4y

10 = 3x - 4y

3x - 4y = 10

The equation in standard form is: 3x - 4y = 10.

Learn more about the equation of a line in standard form on:

https://brainly.com/question/1554350

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