# Slope Passing Through Two Points

Find the Slope

• Given the following two points

(-3, -10)

(4, 5)

• Find the slope of a straight line passing through the points

### Comments for Slope Passing Through Two Points

 Oct 15, 2012 Slope of Line Between Two Points by: Staff Answer: Slope of Line Between Two Points slope = "rise" over "run", or "rise" DIVIDED BY "run" slope = (change in "y" values)/(change in "x" values) slope = Δy / Δx slope = (y₂ - y₁)/(x₂ - x₁) The x-y coordinates of the two points are (-3, -10) and (4, 5). These points are already listed in the proper order (left to right) They are listed properly as (-3, -10) and (4, 5) because the slope will be calculated as the change of "y" when x increases. In this case "x" will increase from -3 to 4 (left to right). It is worth plotting the two points so the position of each can be visualized. Calculation of the slope Points: Left and Right (-3, -10) and (4, 5) (x₁, y₁) and (x₂,y₂) x₁ = -3 x₂ = 4 y₁ = -10 y₂ = 5 slope = (y₂ - y₁)/(x₂ - x₁) slope = [5 - (-10)]/[4 - (-3)] slope = (5 + 10)/(4 + 3) slope = (15)/(7) slope = 15/7 Final Answer:                  slope = 15/7 Thanks for writing. Staff www.solving-math-problems.com