3. What is the equation in slope-intercept form for the line parallel to y = -8x - 2 that contains J(-9, 1)

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.