Answer:
y= -8x -71
Step-by-step explanation:
slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
Given line: y= -8x -2
Slope= -8
Parallel lines have the same slope. Thus, the slope of the unknown line is -8.
Substitute m= -8 into the equation:
y= -8x +c
To find the value of c, substitute a pair of coordinates.
When x= -9, y= 1,
1= -8(-9) +c
1= 72 +c
c= 1 -72
c= -71
Thus, the equation of the line is y= -8x -71.