Answer:
The answer to your question is y = 3x + 2
Explanation:
Data
Point (1, 5)
Passes through (2, 1) and (0, -5)
Process
1.- Calculate the slope of the parallel line
Formula
m = (y2 - y1)/(x2 - x1)
-Substitution
m = (-5 - 1)/ (0 - 2)
-Simplification
m = -6/-2
-Result
m = 3
As both lines are parallel, the slope is the same.
2.- Calculate the equation of the line
Formula
y - y1 = m(x - x1)
-Substitution
(y - 5) = 3(x - 1)
-Simplification
y - 5 = 3x - 3
-Solve for y
y = 3x - 3 + 5
y = 3x + 2