Find the slope from two points

Learning Objectives Define slope as the rate of change between two points. Identify the x and y coordinates from given ordered pairs. Apply the slope formula to calculate the slope of a line. Interpret the meaning of positive, negative, zero, and undefined slopes. Accurately perform subtraction and division with integers to find slope. Connect the concept of slope to real-world scenarios involving rates of change. Ever wonder how steep a ramp is or how fast a car is accelerating? 🎢 Mathematics helps us measure 'steepness' and 'speed' precisely! In this lesson, you'll learn how to calculate the steepness, or slope, of a line when you're given any two points on that line. Understanding slope is crucial for describing how quantities change relati...

TermDefinitionExample SlopeThe measure of the steepness of a line, often described as 'rise over run.' It indicates how much the y-value changes for every unit change in the x-value.A slope of 3 means for every 1 unit moved to the right on a graph, the line goes up 3 units. Coordinate PlaneA two-dimensional plane formed by the intersection of a horizontal number line (x-axis) and a vertical number line (y-axis), used to plot points.The graph paper you use to plot points like (2, 5) is a coordinate plane. Ordered PairA pair of numbers (x, y) that represents a single point on the coordinate plane. The first number is the x-coordinate, and the second is the y-coordinate.(4, 7) is an ordered pair where 4 is the x-coordinate and 7 is the y-coordinate. RiseThe vertical change between...

Slope Formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ This formula calculates the slope ($m$) of a line given two points $(x_1, y_1)$ and $(x_2, y_2)$. It represents the 'rise' (change in y) divided by the 'run' (change in x). Remember that $x_1 \neq x_2$ (the x-coordinates cannot be the same). Slope-Intercept Form (Contextual) $y = mx + b$ While not directly used to *find* slope from two points, this form of a linear equation highlights that 'm' is the slope. It shows how slope is represented within the overall equation of a line, where 'b' is the y-intercept.