Sunday, November 15, 2009

Graph a line

Identify the Slope and y-intercept of the line with the equation y = x + 1

The equation is in the form y = mx + b.

What is the slope and y-intercept of this equation?


What is equal to y in the equation 5x - 5y = 10?


Solution: y = x - 2


Graphing a Linear Equation using intercepts.

Graph 3x - 2y = 6 using the intercepts.


3x - 2(0) = 6

x = 2


3(0) - 2y = 6

y = -3


Classifying Lines Using Slopes


A. (-4, 6), (-2, 10)


m = 10 - 6 // -2 - (-4) = 4/2 = 2 (Because m is positive, the line goes up)


B. (-8, -2), (4, -2)


m = -2 - (-2) // -4 - (-8) = 0/12 = 0 (Because m = 0, the line is horizontal)


C. (12, -4), (12, -6)


m = -6 - (-4) // 12 - 12 = -2/0 = -2 (Because m is undefined, the line goes straight up vertically)