Question

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

parallel to the line 2x – y = 6?

Answer 1

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

Answer 2

all work is shown and pictured