Answer:
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