Equations of Linear Functions

Part II

Let’s have a Quick Review !

What are the four forms of the equation of the Linear Function?

How would you know if your going to use the equation of ..

SLOPE-INTERCEPT FORM ? and POINT SLOPE FORM ?

m and b

Point and m

Let’s Practice

m= -1 , b= 1/2

Answer this orally:

y= -x + 1/2m= -5 , b= -3/2y= -5x - 3/2m= 1/2 , b= 6y = 1/2x + 6m= -1/3 , b= 3y= -1/3x + 3m= 3/2 , b= -2y= 3/2x - 2

Equations of Linear Functions

Slope-Intercept Form

Point-Slope Form

y=mx+b

y-y1 =m(x+x1)

Two-point Form

Intercepts Form

How do they function?

If the graph of a linear function passes through the points (x1,y1) and (x2 , y2) , then its equation is ..

If the graph of a linear function has x-intercept a and y-intercept b,then its equation is ..

Let’s have some example:

A. Write the equation of Linear Function y in slope-intercept form and in Standard Form whose graph

passes through the given pairs of points..

1.(5,-4),(-3,0)2.(-4,3),(5,-2)

B. Write the equation of Linear Function y in slope-intercept form and in Standard Form whose graph

has the given x-intercept a and y-intercept b.

1. a=2,b=-32.a= -1/2, b= -2/3

Listen Very Carefully