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Two-variable equations

10 videos

Know Two-Variable Equations: The Big Picture thumbnail
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Pre-algebra - Two-Variable Equations: The Big Picture

Learn how two-variable equations work using a pizza budget example. Discover how equations like x+y=12 have infinite solutions that form a line on a graph.

Know Is This Ordered Pair a Solution? thumbnail
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Pre-algebra - Is This Ordered Pair a Solution?

Learn how to verify if an ordered pair is a solution to a linear equation by substituting x and y values and checking if both sides are equal.

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Pre-algebra - Finding the Missing Value in a Solution

Learn how to find a missing coordinate by plugging in a known value into a linear equation and solving step by step to find the complete solution point.

Know X-Intercepts and Y-Intercepts Explained thumbnail
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Pre-algebra - X-Intercepts and Y-Intercepts Explained

Learn what x-intercepts and y-intercepts are, where lines cross axes, and the key rule: at x-intercepts y=0, at y-intercepts x=0.

Know Finding Intercepts from an Equation thumbnail
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Pre-algebra - Finding Intercepts from an Equation

Learn how to find x and y intercepts by setting the other variable to zero and solving. Includes a step-by-step example with graphing.

Know Reading Slope from a Graph thumbnail
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Pre-algebra - Reading Slope from a Graph

Learn how to calculate slope using rise over run. Pick two points on a line, count vertical and horizontal distances, then divide to find the slope.

Know Slope from Two Points Using the Formula thumbnail
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Pre-algebra - Slope from Two Points Using the Formula

Learn how to calculate slope using two points and the formula m = (y2-y1)/(x2-x1). Includes a step-by-step example showing how rise over run equals slope.

Know Slope-Intercept Form: y = mx + b thumbnail
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Pre-algebra - Slope-Intercept Form: y = mx + b

Learn slope-intercept form (y=mx+b) to write and graph linear equations. Understand how slope (m) and y-intercept (b) define any line quickly and easily.

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Pre-algebra - Graphing a Line from y = mx + b

Learn how to graph linear equations using slope-intercept form (y=mx+b) by plotting the y-intercept and using rise over run to find a second point.

Know Writing y = mx + b from Two Points thumbnail
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Pre-algebra - Writing y = mx + b from Two Points

Learn how to write a linear equation in slope-intercept form (y=mx+b) using two points by finding the slope and y-intercept.