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Linear Equations in Two Variables

Graphing Linear Equations Opening Routine At Emmit’s Evergreen Farm, the taller trees are braced by wires. A wire extends 2 feet below the top of a tree to a stake in the ground. What is the tallest tree that can be braced with a 25-feet wire staked 15 feet from the base of the tree?

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Linear Equations in Two Variables

Graphing Linear Equations Opening Routine At Emmit’s Evergreen Farm, the taller trees are braced by wires. A wire extends 2 feet below the top of a tree to a stake in the ground. What is the tallest tree that can be braced with a 25-feet wire staked 15 feet from the base of the tree?

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Topic IV: Linear Equations in Two Variables

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Linear Equations in Two Variables

Graphing Linear Equations Objective: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). Essential Question: How slope and intercepts can help you to represent a linear equation graphically?

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Linear Equations in Two Variables

Graphing Linear Equations Vocabulary Linear equation: An equation whose solution fall on a line on the coordinate plane. Rate of change: A ratio that compares the amount of change in the dependent variable to amount of change in the independent variable. Rise: Amount of vertical change (difference in the y-values) Run: Amount of horizontal change (difference in the x-values).

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Linear Equations in Two Variables

Graphing Linear Equations Vocabulary Slope: Ratio of rise to run Horizontal line: Line whose slope = 0 Vertical line: Line whose slope is undefined x-intercept: Where the line crosses the x-axis. y-intercept: Where the line crosses the y-axis. Slope-intercept form: y = mx + b

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Linear Equations in Two Variables

Graphing Linear Equations You can use a table of values to help to make a graph. A graph can include solutions that do not appear in the table. A real-world graph should only points that make sense in the given situation.

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Linear Equations in Two Variables

Graphing Linear Equations

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Linear Equations in Two Variables

Graphing Linear Equations

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Linear Equations in Two Variables

Graphing Linear Equations

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Linear Equations in Two Variables

Graphing Linear Equations

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Linear Equations in Two Variables

Graphing Linear Equations Graphing an equation in the slope-intercept form

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Linear Equations in Two Variables

Graphing Linear Equations

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Linear Equations in Two Variables

Graphing Linear Equations

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Linear Equations in Two Variables

Graphing Linear Equations Graphing an equation in the standard form

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Linear Equations in Two Variables

Graphing Linear Equations Guided Practice – WE DO Graph the line y = 2x + 5 m = 2 and b = 5 First step: Plot the y-intercept. It will be in the point (0,5) Second step: Use the slope to find a second point. As m = 2, and m = y variation/x variation, then we can say that y decreases in 2 when x increases in 1. Third step: Draw the line through the two points.

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Linear Equations in Two Variables

Graphing Linear Equations Independent Practice – YOU DO Worksheet “Graphing Lines in Slope-intercept Form and Standard Form”

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Linear Equations in Two Variables

Graphing Linear Equations Closure Essential Question: How slope and intercepts can help you to represent a linear equation graphically?

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Linear Equations in Two Variables

Graphing Linear Equations Closure: Essential Question: How slope and intercepts can help you to represent a linear equation graphically? .

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Linear Equations in Two Variables

Graphing Linear Equations Home Learning Complete Worksheet “Graphing Lines in Slope-intercept Form and Standard Form” .

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