What is an equation of the line that passes through the point (−7,−8) and is parallel to the line 2x−y=6?

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

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