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

Step-by-step 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