Two lines are parallel if they have the same slope. The slope of y = -3x + 12 is -3.
The slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept
Replacing with m = -3, and point (4, 2) into the equation, we get:
2 = -3(4) + b
2 = -12 + b
2 + 12 = b
14 = b
Then, the equation is:
y = -3x + 14
The standard form is:
Ax + By + = C
where A is a positive integer, and B and C are integers.
Reordering the previous equation:
3x + y = 14
