Question

Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.

Answer 1

Answer:

The answer is

5y - 12x = - 9

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

12x - 5y = 2

5y = 12x - 2

Divide both sides by 5

y = 12/5x - 1/5

Comparing with the above formula

Slope / m = 12/5

Since the lines are parallel their slope are also the same.

Slope the parallel line = 12/5

Equation of the line using point (2,3) is

$y - 3 = \frac{12}{5} (x - 2)$

Multiply through by 5

That's

5y - 15 = 12(x - 2)

5y - 15 = 12x - 24

We have the final answer as

5y - 12x = - 9

Hope this helps you