Standard Form I can identify intercepts from an equation.

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Presentation transcript:

Standard Form I can identify intercepts from an equation. I can graph an equation in standard form using intercepts.

What is Standard Form Standard form of a linear equation is Ax + By = C. Where A and B are not both zero. A, B, and C are integers. A quick way to graph this form is to plot its intercepts.

What are intercepts? The x-intercept is the x-coordinate of the point where the line intersects the x-axis. y x (x, 0) Ax + By = C

What are intercepts? The y-intercept is the y-coordinate of the point where the line intersects the y-axis. (0, y) y x Ax + By = C

Graphing Equations in Standard Form The standard form of a linear equation gives you a quick way to graph to graph the equation. Find x-intercept by letting y = 0. Solve for x. Use x-intercept to plot point where line crosses x-axis. Find y-intercept by letting x = 0. Solve for y. Use y-intercept to plot point where line crosses y-axis. Draw line through the two points.

Graphing Equations in Standard Form (0,4) Graph 2x + 3y = 12 Let y = 0 to find the x-intercept. 2x + 3(0) = 12 2x = 12 x = 6 → (6, 0) is the x-intercept. (6, 0) Let x = 0 to find the y-intercept. 2(0) + 3y = 12 3y = 12 y = 4 → (0, 4) is the y-intercept.