Unit 5, Lesson 9.  The standard form of a linear equation is:

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Presentation transcript:

Unit 5, Lesson 9

 The standard form of a linear equation is:

 X-intercept: the x-coordinate of the point where a line crosses the x-axis.  To find the x-intercept of a line, substitute 0 for y and solve.  To find the y-intercept of a line, substitute 0 for x and solve.

Find the x- and y-intercepts of 2x + 5y = 6. Step 1: To find the x-intercept, substitute 0 for y and solve for x. 2x + 5(0) = 6 2x = 6 x = 3 The x-intercept is 3.

Find the x- and y-intercepts of 2x + 5y = 6. Step 2: To find the y-intercept, substitute 0 for x and solve for y. 2(0) + 5y = 6 5y = 6 y = The y-intercept is

Find the x- and y-intercepts of 4x – 9y = –12.

3x + 5y = 15 3x + 5(0) = 15 3x = 15 x = 5 3x + 5y = 15 3(0) + 5y = 15 5y = 15 y = 3 Graph the equation 3x + 5y = 15. Plot (5, 0) and (0, 3). Draw a line through the points.

Graph 2x – y = 6 using x- and y-intercepts.

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