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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 when the equation is in the from y = mx + b. In this case, the slope is 2. The y - INTERCEPT This is the value of y when x = 0. In this case, the y-intercept is 3 y = 2x + 3 Slope y - intercept The graph of the equation y = mx + b has slope m and y-intercept b.

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The equation y = mx + b is called the slope y - intercept form of the equation of a line. We can draw the graph of an equation in this form without making a table of values. As long as you have one point and the slope of a line you can draw the equation of a line!!!! y = mx + b form gives you that information. m is the slope b is the y-int. which gives you a point: (0,y-int)

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CLASS WORK Finish Lesson 9(4) Copy any notes you may not have. Do Lesson 9(5)

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Writing equations given 2 points on the line. Write the equation of the line that goes through the points (1, 6) and (3, -4) m = y₂ - y₁ x₂ - x₁ -4 -

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