Find a missing coordinate using slope

Learning Objectives Define slope as the ratio of rise to run. Apply the slope formula to calculate the slope between two given points. Set up an algebraic equation using the slope formula when one coordinate is unknown. Solve for a missing x-coordinate or y-coordinate given the slope and two other points. Verify their missing coordinate by recalculating the slope with the found value. Understand that the slope is constant for any two points on a straight line. Imagine you're building a ramp 🏗️, and you know how steep it needs to be (its slope), but one measurement is missing! How can you figure it out? In this lesson, you'll learn how to use the concept of slope to find a missing x or y coordinate when you know the slope of a line and two points on it. This skill...

TermDefinitionExample Coordinate PlaneA two-dimensional surface formed by two perpendicular number lines (x-axis and y-axis) used to locate points.Plotting the point (3, 2) on a graph. Ordered PairA pair of numbers (x, y) that specifies the location of a point on a coordinate plane, where x is the horizontal position and y is the vertical position.The point (5, -1) is an ordered pair. SlopeA measure of the steepness and direction of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.A slope of 2 means for every 1 unit moved to the right, the line goes up 2 units. RiseThe vertical change between two points on a line, calculated by subtracting the y-coordinates ($y_2 - y_1$).If points are (1,2) and (4,8), the rise...

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 $(x_2, y_2)$. The order of subtraction must be consistent for both x and y coordinates. Cross-Multiplication for Proportions If $\frac{a}{b} = \frac{c}{d}$, then $ad = bc$. When you have an equation where two fractions are equal (a proportion), you can multiply the numerator of one fraction by the denominator of the other, and set them equal. This helps solve for an unknown variable in the proportion.