Question

Y-intercept of a line that has a slope of 2 and passes
through the point (4, 6).

Answer 1

b = -2

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