Answer:
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
