We need to find which function is parallel to the line: y = 7x - 5
The general equation of the line is: y = mx + b
where m is the slope
So, the slope of the given line is m = 7
The equation of the line parallel to the given line will have the same slope of the given line
We will check the options:
A. y = 8x + 3 , slope = 8
b. y = 5x + 8 , slope = 5
C. y = 4x - 2 , slope = 4
D. y = 7x + 1 , slope = 7
so, the graph of the line [ y = 7x + 1 ] is parallel to the line to [ y = 7x - 5 ]
so, the answer is option D. y = 7x + 1
