Answer:
Step-by-step explanation:
The equation of a line can be represented in the slope intercept form by the equation, y = mx + c.
Where
m = slope = change in y in the vertical axis/change in x in the horizontal axis
The equation of the given line is
2x−y=6, rearranging it, it becomes
y = 2x - 6
the slope m is 2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line
that passes through the point (−7,−8) is also 2 since both both lines are parallel.
To get the intercept, c, we would substitute m =2, y = - 8, x = - 7 into
y = mx + c. It becomes
-8 = 2×-7 + c
-8 = -14 + c
c = -8+14 =6. The equation becomes
y = 2x + 6
