Using Standard Form © 2007 by S – Squared, Inc. All Rights Reserved

E QUATION OF A L INE Standard Form=x+A ByC are integers and not both zero A where B and

Graphing A Line In Standard Form  To graph a line using an equation in standard form, use the x & y intercepts  The x – intercept is the point ( x, 0 )  The y – intercept is the point ( 0, y )

Let y = 0 Finding The Intercepts Example: 2x 0 y = ─ 63  To find the x – intercept (0) y 2x = ─ 63 Now, just solve for x 2x = ─ 6 0 2x =6 x =3 x – intercept:(, ) 3

Let x = 0 Finding The Intercepts Example: 2x 0 y = ─ 63  Now, let's find the y – intercept (0) x 2y = ─ 63 Now, just solve for y 3y = ─ 6 0 − 3y =6 y =− 2 y – intercept:(, ) − 2

L ET ' S G RAPH I T ! Remember: we only need 2 points to graph a line. We just found those 2 points. x – intercept: ( 3, 0 ) ( 0, − 2 ) y – intercept: Now just draw the line! y x Identify the Slope: m = 2 3

Let y = 0 Finding The Intercepts Example: 5x 0 y =  To find the x – intercept (0) y 5x = Now, just solve for x 5x = x = x = 4 x – intercept:(, ) 4

Let x = 0 Finding The Intercepts Example: 5x 0 y =  Now, let's find the y – intercept (0) x 5y = Now, just solve for y 4y = y = y =5 y – intercept:(, ) 5

L ET ' S G RAPH I T ! x – intercept: ( 4, 0 ) ( 0, 5) y – intercept: Now just draw the line! y x Identify the Slope: m = 4 5 ̵

S UMMARY  Find the x & y intercepts Graphing using the Standard Form of a Line  Plot the 2 points  Draw the line x – intercept: y = 0 y –intercept: x = 0 ( x, 0 ) and ( 0, y ) You Can Do It!