 # I can graph linear equations using intercepts and write linear equations in standard form.

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I can graph linear equations using intercepts and write linear equations in standard form.

Standard Form of a Linear Equation  So far we have learned how to write linear equations in slope-intercept form and point-slope form.  Standard form is written Ax + By = C where A, B, and C are real numbers

Intercepts  The x-intercept is the x-coordinate of a point where a graph crosses the x-axis. Found where the y-value is 0  Find x and y intercepts of the graph of 3x + 4y = 24  Sub 0 for y to find x-intercept X =8  Sub 0 for x to find y-intercept Y = 6

Graphing Using Intercepts  What is the graph of x – 2y = -2?  Find intercepts X = -2 Y = 1  Write as ordered pairs (-2, 0) (0, 1)  Plot the ordered pairs

Horizontal and Vertical Lines  x = 3  Write in standard form: 1x + 0y = 3  y = 3  Standard form: 0x + 1y = 3

Transforming to Standard Form

Modeling  Songs are sold for \$1 each and movies for \$12. You have \$60 to spend. Write an equation to show the number of items you can purchase.  Draw a graph and find 3 combinations of purchases.

Assignment  Odds  P. 326 #9-37

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