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Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.

y = –x + 1
3x − 4y = −4
4x − 3y = −3
y – 2 = –(x – 4)
y + 2 = (x + 4)

Respuesta :

texaschic101
3x - 4y = 7
-4y = -3x + 7
y = 3/4x - 7/4.....the slope here is 3/4. A parallel line will have the same slope.

y - y1 = m(x - x1)
slope(m) = 3/4
(-4,-2)....x1 = -4 and y1 = -2
now we sub
y - (-2) = 3/4(x - (-4) =
y + 2 = 3/4(x + 4) <=== this is one

y + 2 = 3/4(x + 4)
y + 2 = 3/4x + 3
y = 3/4x + 3 - 2
y = 3/4x + 1
-3/4x + y = 1
3x - 4y = -4 <==== this is one
abidemiokin

The required equation of the line will be 3x − 4y = −4

Equation of  line in point slope form

The formula for finding the equation of a line in point slope form is expressed as:

y - y1 = m(x-x1)

Given the equation 3x − 4y = 7,the slope is calculated as:

3x − 4y = 7

-4y = -3x + 7

y = 3/4 x - 7/4

Hence the slope of the line is 3/4

Get the required equation

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

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

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

4y + 8 = 3x + 12

4y - 3x  = 4

Hence the required equation of the line will be 3x − 4y = −4

Learn more on equation of a line here; https://brainly.com/question/18831322

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