Question

1. Write the equation of a line that is parallel to y = -1/4 x - 6 that passes through the point (12,4).

Answer 1

The answer is

`y = - (1)/(4) x + 7`

Explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

From the question the original line is

y = - 1/4x - 6

Comparing with the general equation above

Slope = - 1/4

Since the lines are parallel their slope are also the same

Slope of parallel line = - 1/4.

Equation of the line using point (12,4) and slope - 1/4 is

`y - 4 = - (1)/(4) (x - 12) \\ y - 4 = - (1)/(4) x + 3 \\ y = - (1)/(4) x + 3 + 4`

We have the final answer as

`y = - (1)/(4) x + 7`

Hope this helps you