m = Δy/Δx (ratio of change in y to change in x) = 2/3
b = 3 (as y-intercept is [0,3])
⇒ y = 2/3x + 3
a. parallel line
For parallel lines, slope (m) remains the same, but the y-intercept (b) changes
⇒ y = 2/3x + 1
b. perpendicular line
For perpendicular lines, the slope (m) is the negative reciprocal of the original line and the value of b stays the same [it can be any point as long as it intersects the line]
