perpendicular y=-2*x+7
Find the slope of y = -2x + 7, with respect to x
In y = ax + b, the slope is the coefficient of x: -2
No point is specified: find the family of perpendicular lines
m is the slope of the perpendicular line. The slopes of two perpendicular lines have product -1: -2m = -1.
⇥Let's solve in ℝ: -2m = -1
⇥ 2m = 1
⇥ⓘ Both sides are divided by 2
⇥Solution obtained: m = 12
The y-intercept b is an arbitrary real number
▶Perpendicular lines:   y = x2 + b