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