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1 vote
What is an equation of the line that passes through the point (-7,-8) and is

parallel to the line 2x – y = 6?

2 Answers

5 votes

Answer:

y = 2x - 1

Explanation:

The line passes through point (-7,-8)

The line is parallel to line whose equation is 2x - y = 6

Converting the equation of the second line into form y = mx + c;

2x - y = 6 is equal to y = 2x - 6 (the slope of this line is 2)

For parallel lines the value of their slopes is the same.

So our first line passes through point (-7,-8) and has a slope of 2

Taking another point (x,y) on the line;

Slope = Change in y ÷ change in x =
(y - - 8)/(x - -7) = 2

y + 8 = 2x + 7

y = 2x + 7 - 8

y = 2x - 1

User WiXXeY
by
8.1k points
6 votes

Answer:

all work is shown and pictured

What is an equation of the line that passes through the point (-7,-8) and is parallel-example-1
User Goldy
by
8.0k points

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