Find the slope from two points

Learning Objectives Identify the coordinates of two given points on a coordinate plane. Define 'rise' as the vertical change and 'run' as the horizontal change between two points. Calculate the 'rise' and 'run' by subtracting the y-coordinates and x-coordinates, respectively. Apply the slope formula, $m = \frac{\text{rise}}{\text{run}}$, to find the slope of a line. Determine the slope of a line given any two points. Interpret the meaning of positive, negative, zero, and undefined slopes. Ever wondered how steep a ramp is or how fast a roller coaster climbs? 🎢 Mathematics helps us measure steepness using something called 'slope'! In this lesson, you'll learn how to calculate the steepness, or slope, of a straight line...

TermDefinitionExample Coordinate PlaneA grid formed by two perpendicular number lines (x-axis and y-axis) used to locate points.Imagine a city map where streets run east-west (x-axis) and north-south (y-axis). Ordered PairA pair of numbers (x, y) that gives the exact location of a point on the coordinate plane.The point (3, 5) means you go 3 units right and 5 units up from the origin. SlopeA measure of the steepness and direction of a line, often described as 'rise over run'.A very steep hill has a large slope, while a flat road has a slope of zero. RiseThe vertical change (up or down) between two points on a line. It's the difference in the y-coordinates.If you move from (2,3) to (2,7), the rise is 7 - 3 = 4. RunThe horizontal change (left or right) between two points on a...

Slope as Rise over Run $m = \frac{\text{rise}}{\text{run}}$ This formula defines slope ($m$) as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on a line. Slope Formula from Two Points $m = \frac{y_2 - y_1}{x_2 - x_1}$ Given two points $(x_1, y_1)$ and $(x_2, y_2)$, this formula calculates the slope by finding the difference in the y-coordinates (rise) and dividing it by the difference in the x-coordinates (run). Remember to subtract in the same order for both x and y!