Answer:
b = -2
Step-by-step explanation:
The point-slope form of equation is: y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope.
m = 2
(4, 6) ⇒ x₀ = 4, y₀ = 6
So, the point-slope form of equation:
y - 6 = 2(x - 4)
Changing to the slope-intercept form of the equation of the line (y = mx + b, where m is the slope and b is the y-intercept of the line):
y - 6 = 2x - 8 {add 6 to both sides}
y = 2x - 2 ⇒ b = -2
