Find the equation for the parallel line that passes through (-6, - 2). The slope is I/6

Answer: y = x/6 - 1

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m represents the slope of the line.

c represents the y intercept.

The slope of the given line is 1/6.

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through ( - 6, - 2) is 1/6

To determine the y intercept, we would substitute m = 1/6, x = - 6 and y = - 2 into y = mx + c. It becomes

- 2 = 1/6 * - 6 + c

- 2 = - 1 + c

c = - 2 + 1

c = - 1

The equation becomes

y = x/6 - 1