Answer:
y = x - 3
Step-by-step explanation:
Parallel lines have equal slopes.
The line y = x is written in the y = mx + b form, where m = 1, so the slope of the line y = x is 1. The slope of the parallel line is also 1.
The line you want has the form
y = mx + b
The slope is 1, so m = 1, and you get
y = 1x + b
y = x + b
We need to find the value of b.
Replace x and y in the equation with the x- and y-coordinates of the given point, respectively, and solve for b.
y = x + b
2 = 5 + b
b = -3
Now that we know b is -3, we replace b with -3
y = x - 3
