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**Quick Review: Slope is… Positive Slope: Negative Slope:**

Steepness of a line, m, rise, change in y, common difference run change in x Positive Slope: Negative Slope: Zero Slope: Undefined Slope:

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**SOLVING FOR Y AND PUTTING EQUATIONS INTO Slope - Intercept Form**

Chapter 12-3

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**CONCEPT: Any linear equation can be graphed on a coordinate plane.**

In order to be able to graph the equation, it has to be set up properly. Doctor / surgery Driving Vacation The ONLY way to graph an equation is from slope-intercept form.

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**y = mx + b **Slope-intercept form: y = mx + b m is the slope and**

b is the y-intercept. m and b are place holders for numbers. In slope-int. form, m & b will be numbers y = mx + b Slope y-intercept

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y = 6x + 2 y = − 2 3 x - 5

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**Slope-intercept form is how you need an equation to be so that you can EASILY graph it.**

Standard form is another way of seeing a linear equation, but you can’t graph it – you would have to put it into slope-intercept form.

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To put any linear equation into slope-intercept form, you have to use inverse operations to solve for y.

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**Let’s put this equation in slope-intercept form:**

5y = 3x

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2x + 3y = -12

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3y = 4x + 15

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**You must always have y, m, x, and b**

You must always have y, m, x, and b. This means that if an equation says y=mx, you assume that b is 0 (and add 0). y = mx + 0

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**Change to slope-intercept form:**

4x + 3y = 9

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-5x – 9x = 4y – 4 -6y – 2x = 8 7y – 7x = -4 1y – 3x = 4

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