Answer:
The equation of line Passing through point ( - 7 , - 8 ) and is parallel to given line 2 x - y = 6 is y = 2 x + 6
Explanation:
Given equation of line as :
2 x - y = 6
or, y = 2 x - 6
∵ Standard equation of line is give as
y = m x + c
Where m is the slope of line and c is the y-intercept
Now, comparing given line equation with standard eq
So, The slope of the given line = m = 2
Again,
The other line if passing through the points (- 7 , - 8 ) And is parallel to given line
So, for parallel lines condition , the slope of both lines are equal
Let The slope of other line = M
So, M = m = 2
∴ The equation of line with slope M and passing through points ( -7 , - 8) is
y = M x + c
Now , satisfying the points
So, - 8 = 2 × ( - 7 ) + c
or, - 8 = - 14 + c
Or, - 8 + 14 = c
∴ c = 6
So, The equation of line with slope 2 and passing through points ( -7 , - 8 )
y = 2 x + 6
Hence The equation of line Passing through point ( - 7 , - 8 ) and is parallel to given line 2 x - y = 6 is y = 2 x + 6 Answer