ANSWER
y = - 3x - 1
EXPLANATION
Recall: Parallel lines have the same slope.
The slope-intercept form is given as: y = mx + c
where m is the slope and c is the y-intercept.
From the given equation y = -3x + 7,
slope (m) = - 3
Now, the equation of the new line is:
y = -3x + c
Insert the point (-2, 5) as (x, y) to determine the 'c'
5 = -3(-2) + c
5 = 6 + c
subtract 6 from both sides
5 - 6 = 6 + c - 6
c = - 1
Hence, the equation of the line that passes through point (-2,5) and is parallel to y=-3x+7 is y = - 3x - 1.
