|
This Lesson (Graphing Equations in Standard Form by Two-Intercept Method) was created by by rapaljer(3620)    : View Source, ShowAbout rapaljer: Retired Professor of Mathematics from Seminole Community College after 36 years.
GRAPHING EQUATIONS in STANDARD FORM by the TWO-INTERCEPT METHOD
When the equation of a line is given in STANDARD FORM, so the easiest way to graph it is probably the TWO-INTERCEPT METHOD. Instead of having to solve for y in terms of x in order to find the slope and y-intercept, I think it is much easier to just find the x and y intercepts. EXAMPLE 1: 2x+y = -2 SOLUTION: 2x+y = -2 If x= 0, then y = -2 If y=0, then 2x= -2, so x= -1 Graph these points and connect the dots. It should look like this: ---------------------------------------------------------------------------------- EXAMPLE 2: 3x-6y=-3 SOLUTION: 3x - 6y = -3 If x = 0, then -6y=-3, so y= If y=0, then 3x = -3, so x = -1 Graph these points and connect the dots. It should look like this: ---------------------------------------------------------------------------------- EXAMPLE 3: -2x+y=-2 SOLUTION: -2x + y = -2 If x = 0, then y=-2 If y=0, then -2x = -2, so x = 1 Graph these points and connect the dots. It should look like this: ---------------------------------------------------------------------------------- EXAMPLE 4: SOLUTION: First multiply both sides by the LCD which is 4: If x = 0, then 3y=24, so y= 8 If y=0, then x = 24 (This will take a LARGE GRAPH!) Graph these points and connect the dots. It should look like this: R^2 at SCC This lesson has been accessed 13349 times. |
