Question

A line that includes the point (1, 10) has a slope of 6. What is its equation in slope-intercept

form?

Answer 1

y = 6x + 4

Explanation:

The point-slope form of the equation that describes the line with a slope of m and including the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = 6

(1, 10) ⇒ x₀ = 1, y₀ = 10

Therefore:

y - 10 = 6(x - 1) ← the point-slope form

y - 10 = 6x - 6 {add 10 to both sides}

y = 6x + 4 ← the slope-intercept form