Intercepts of a Line Intercepts are the points at which the graph intersects the x-axis or the y-axis. Since an intercept intersects the x-axis or the.

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Presentation transcript:

Intercepts of a Line Intercepts are the points at which the graph intersects the x-axis or the y-axis. Since an intercept intersects the x-axis or the y-axis, then an intercept has zero as either its x-coordinate or its y-coordinate. y-intercepts x-intercepts The point (x, 0) is an x-intercept of the graph of an equation if it is a solution point of the equation. The point (0, y) is a y-intercept of the graph of an equation if it is a solution point of the equation. Looks like these intercepts should be pretty easy to find.

Finding Intercepts of a Graph Let’s take a look at how we go about finding x-intercepts and y-intercepts. x-intercepts y-intercepts To find the x-intercepts of a graph, let y be zero and solve the equation for x. To find the y-intercepts of a graph, let x be zero and solve the equation for y. That sounds pretty easy to me.

Examples of Intercepts The intercepts are y-intercept x-intercept x-intercept y-intercept The intercepts are That was easy

Finding the Intercepts of a Line by Solving x-intercepts y-intercepts Let y be zero and solve the equation for x. Let x be zero and solve the equation for y. The y-intercept is (0, -4) The x-intercept is (4, 0) The y-intercept is (0, -2) That was easy The x-intercept is (3, 0)

Standard Form of a Linear Equation Find the x-intercept and y-intercept of each linear equation. x-intercepts x-intercepts y-intercepts Let y be zero and solve the equation for x. Let be x zero and solve the equation for y. y-intercepts

Homework Page 326: 8 – 13 All Problems

x-intercepts y-intercepts

Summary of Equations of Lines Slope-Intercept Form Horizontal Line Vertical Line General Form Point-Slope Form

Transforming to Standard Form Write each equation in standard form using integers.

More Transforming to Standard Form Write each equation in standard form using integers.

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