Answer:
y = 3x - 5
Step-by-step explanation:
The equation is given in the form
y = 3x + 4
that is
y = mx + b
So, we can say:
m = 3
This is the slope (m).
Parallel lines have equal slopes, so we can say the line parallel will have the equation:
y = 3x + b
We are given that it passes through (2,1), so we plug in respective values of x and y and solve for b:
y = 3x + b
1 = 3(2) + b
1 = 6 + b
b = 1 - 6
b = -5
So, the equation is:
y = 3x - 5
