# Point-Slope Equation for straight line passing through point (6,8)

by Barbara Dale
(Hemmingway High School)

Point-Slope Equation

• Write the point-slope equation for a straight line which has the following characteristics

The slope of the line is 3

The curve passes through a point with the following coordinates: (6,8)

### Comments for Point-Slope Equation for straight line passing through point (6,8)

 Nov 08, 2012 Point-Slope Equation by: Staff Answer The Point-Slope Form ```Point-Slope Form: (y - y₁) = m (x - x₁) This format uses a single known point (x₁,y₁) and the slope m (which is also a known value) From the problem statement: m (the slope) = 3 single known point (x₁,y₁) = (6,8) x₁ = 6 y₁ = 8 (y - y₁) = m (x - x₁) (y - 8) = 3 (x - 6) ``` Final Answer: (y - 8) = 3 (x - 6) The Slope Intercept Form ```Slope Intercept Form y = mx + b (y - 8) = 3 (x - 6) y - 8 = 3x - 18 y - 8 + 8 = 3x - 18 + 8 y + 0 = 3x - 18 + 8 y = 3x - 18 + 8 y = 3x - 10 ``` The Standard Form ```Standard Form Ax + By = C A, B, and C are constants y = 3x - 10 y + 3x = 3x - 10 - 3x y - 3x = 3x - 3x - 10 y - 3x = 0 - 10 y - 3x = - 10 -3x + y = - 10 ``` Thanks for writing. Staff www.solving-math-problems.com