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**Warm Up… Solve each equation for y.**

y – 5 = 4x (2) y + 2x = (3) 2y + 6 = -8x Calculate the slope given the two points. (4) (-4, 4) and (2, -5) (5) (0, -1) and (1, -6)

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**#6.2 - Graphing Linear Equations**

In Slope-Intercept Form Objective: SWBAT graph linear equations

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**A linear equation graph will always create a line.**

Linear equations are in the form y = mx + b or can be rewritten into the form y = mx + b. In this section, instead of making a table, evaluating y for each x, plotting the points and making a line, we will use The Slope-Intercept Form of the equation to graph the line.

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**Notice that these equations are all solved for y.**

These equations are all in Slope-Intercept Form: Notice that these equations are all solved for y.

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**y = mx + b Formula for Slope – Intercept Form**

‘b’ is the y-intercept (the point where the graph crosses the y – axis) ‘m’ is the slope

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**Just by looking at an equation in this form, we can draw the line (no tables).**

The constant is the y-intercept. The coefficient is the slope. Constant = 1, y-intercept = 1. Coefficient = 2, slope = 2. Constant = -4, y-intercept = -4. Coefficient = -1, slope = -1. Constant = -2, y-intercept = -2. Coefficient = 3/2, slope = 3/2.

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right 1 up 2 right 1 up 2

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down 1 down 1 right 1 right 1

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right 2 up 3 right 2 up 3

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y = x

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y = -3 x = 2

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**Sometimes we must solve the equation for y before we can graph it.**

The constant, b = 3 is the y-intercept. The coefficient, m = -2 is the slope.

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The table and graph suggest another method of graphing a linear equation. This method is based on two numbers. The SLOPE This is the coefficient of x.

The table and graph suggest another method of graphing a linear equation. This method is based on two numbers. The SLOPE This is the coefficient of x.

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