What is an equation of the line that passes through the point (-8,-7) and is parallel to the line x-2y=12 ?

Step-by-step explanation:

The equation of a line is expressed in the slope intercept form as

y = mx + c

Where

m = slope

c = intercept.

The equation of the given line is

x-2y=12

We would rearrange it so that it will look like the the slope intercept equation. It becomes

2y = x - 12

y = x/2 - 6

The slope, m is 1/2

If two lines are parallel, it means that they have the same slope. Therefore, the line that passes through the point (-8,-7) has a slope of 1/2. To determine the intercept c, we would substitute x = - 8, y = - 7 and m = 1/2 into y = mx + c. It becomes

- 7 = 1/2 × - 8 + c

- 7 = - 4 + c

c = -7 + 4 = - 3

The equation becomes

y = x/2 - 3