We are going to write the equation in slope-intercept form (y = mx + b).
m = slope
b = y-intercept
Since we are given the slope, we only need to solve for the y-intercept.
3 = 1(5) + b
3 = 5 + b
3 - b = 5 + b - b
3 - b = 5
3 - 3 - b = 5 - 3
-b = 2
-b/-1 = 2/-1
b = -2
Now, put into its final equation.
y = x - 2 (Option A)
Best of Luck!
