5-5 STANDARD FORM. Today, we will use to graph a line. The is the x-coordinate of a point where a graph crosses the x-axis. The y-intercept occurs when.

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5.5 Standard Form: X-intercept: The point where the graph crosses the x-axis, ( y=0). Y-intercept: The point where the graph crosses the y-axis, (x=0).

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Presentation transcript:

5-5 STANDARD FORM

Today, we will use to graph a line. The is the x-coordinate of a point where a graph crosses the x-axis. The y-intercept occurs when the value of is zero. The x-intercept occurs when the value of is zero. Standard Form of a Linear Equation: _____________ where A, B, and C are, A is positive and A and B are not both zero. When an equation is written in Standard Form it is easy to graph using the intercepts. INTERCEPTS x-INTERCEPT x y REAL NUMBERS

Find the intercepts of the following graphs of the equation: 1) To find the x-intercept, substitute 0 in for y. Solve for x. 2) To find the y-intercept, substitute 0 in for x. Solve for y. FINDING INTERCEPTS The x-intercept is 7 The y-intercept is 7

GRAPHING USING INTERCEPTS What is the graph of ? 1) x- intercept: 2) y- intercept: 3) Plot the points 4) Draw a line through the points.

HORIZONTAL AND VERTICAL LINES The graph of is a horizontal line, and the graph of is a vertical line, where a and b are constants. Given the equation graph the line: Rewrite in Standard Form: Name two points on the line: Given the equation graph the line: Rewrite in Standard Form: Name two points on the line: For all values of y, x = -1 For all values of x, y = 4

TRANSFORMING AN EQUATION TO STANDARD FORM What is written in standard form using integers? 1) Clear the fractions. 2) Rewrite so that the x and y values are on the same side of the equation: 3) Make the value of x positive:

TRANSFORMING AN EQUATION TO STANDARD FORM What is written in standard form using integers? 1) Use Distributive Property. 2) Rewrite so that the x and y values are on the same side of the equation: 3) Move the constants to the right side of the equation:

A festival sells ride tickets for $0.50 each and game tickets for $0.20 each. You have $5 to spend on tickets at the festival. Define variables: Equation: If you buy no game tickets how many ride tickets can you get? If you buy no ride tickets how many game tickets can you get? Find another combination: USING STANDARD FORM AS A MODEL x = ride tickets y = game tickets

HOMEWORK: P #’S 8-34 EVEN

TRY THESE Find the intercepts of the following graphs of the equations: 1)2)

TRY THESE Tell which form each linear equation is in: Point-slope form Slope-intercept form Standard form