What is the equation of the line? picture attatched

y = -7x - 3

Step-by-step explanation:

The equation of the given line is

y = -7x + 2 and it contains the points (-5,32)

For two lines are parallel, their slopes must be equal.

Recall, the equation of a slope intercept is y = mx + c

Where m = slope

c = intercept

Comparing the equation given,

y = -7x + 2 with the equation if a straight line, y = mx + c,

The slope, m = -7

To find the equation that contains the points (-5,32), we will make use of the slope intercept equation again,

y = mx + c

Since the lines are parallel, the

slope = -7.

x= -5

y = 32

Using the slope intercept equation,

32 = -7 × -5 + c

32 = 35 + c

c = 32-35= -3

The equation is

y = -7x - 3

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

good job you smart son of a gun you are smarter that einstein. 7