F-IF.B.4: Using Intercepts of Linear Equations

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Presentation transcript:

F-IF.B.4: Using Intercepts of Linear Equations

F-IF.4 Using Intercepts Definitions Intercept: where two lines intersect. x-intercept: where a point or line crosses the x -axis. y-intercept: where a point or line crosses the y -axis.

F-IF.B.4 Using Intercepts The idea behind graphing a linear equation using intercepts is to graph a line you need two points. So we find and graph the x and y intercepts of the linear equation.

F-IF.B.4 Using Intercepts To find the x-intercept, y has to equal zero. (x, 0) To find the y-intercept, x has to equal zero. (0, y)

F-IF.B.4: Intercepts Method Step 1: Write equation in Standard Form Ax + By = C 5x + 6y = -60 Examples: 3x - 4y = 24

F-IF.B.4: Intercepts Method Step 2: Find the x-intercept: By setting the y value equal to zero and then solve for x. (x, 0)

F-IF.4: Intercepts Method Step 3: Find the y-intercept: By setting the x value equal to zero and then solve for y. (0, y)

F-IF.B.4: Intercepts Method Step 4: Plot coordinates x Y x y x y

F-IF.B.4: Intercepts Method Step 1: Write equation in: Step 2: Find x intercept y = 0

F-IF.B.4: Intercepts Method Step 3: Find y intercept x = 0

F-IF.B.4: Intercepts Method Step 4: Plot coordinates: x Y x y -3 3 1 -2 -3 -1 1 3 -1 -3

F-IF.B.4: Intercepts Method Example: x- int y = 0 y -int x = 0

F-IF.B.4: Intercepts Method Plot coordinates of: x Y x y 5 8 5 4 -8 -4 4 8 -4 -8