Question

Plz help, 15 points!

What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

--------?

Answer 1

Answer:

3x + 4y = 16.

Step-by-step explanation:

First work out the slope of the given equation:

3x + 4y = 15

4y = -3x + 15

y = -3/4x + 15/4.

The required line has the same slope,  = -3/4.

Using the point-slope equation:

y - y1 = m(x - x1)

y - (-2) = -3/4(x - 8)

y + 2 = -3/4x + 6

y = -3/4x + 4

Convert to standard form:

Multiply by 4:

4y = -3x + 16

3x + 4y = 16.