Question

Use the given conditions to write an equation for the line in point slope and slope-intercept form.

Slope = 4, passing through (-2,6)

Answer 1

y - 6 = 4(x + 2) ← the equation in point-slope form

y = 4x + 14 ← the equation in slope-intercept form

Explanation:

The point-slope form: y - y₁ = m(x - x₁), where m is the slope, and (x₁, y₁) is the point that line passing through.

m = 4

(-2, 6) ⇒ x₁ = -2, y₁ = 6

y - 6 = 4(x -(-2))

y - 6 = 4(x + 2) ← the equation in point-slope form

y - 6 = 4x + 8 {add 6 to both sides}

y = 4x + 14 ← the equation in slope-intercept form