3x + y = -10. The standard form of the equation that is parallel to y = -3x + 3 and goes through point (-5, 5) is 3x + y = -10.
The equation is written in the slope-intercept form y = mx +b. So:
y = -3x + 3
The slope m = -3
Since the slopes of parallel lines are the same, we are looking for a slope line m = -3 and goes through point (-5, 5).
With the slope-intercept form:
y = mx + b
Introducing the slope m = -3:
y = -3x + b
Introducing the point (-5, 5):
5 = -3(-5) + b
5 = 15 + b
b= 5 - 15
b = -10
then
y = -3x -10
write the equation in standard form ax + by = c:
y = -3x -10
3x + y = -10
