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

Question

2 years ago

11

line with a slope of 3/4

1 answer:

kotykmax [81] · Answer 1 · 2023-03-13T21:26:52+03:00

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.

<h3>What is the Equation of a Line in Standard Form?</h3>

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

Given:

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.

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