Line & Its Slope

STANDARD FORM OF LINEAR EQUATION

Ax + By = CTransform each linear function in standard form.1. y = -9x + 2 9x + y = 2

2. y = 3/2 – 2x 2 (y = 3/2 – 2x) 2 2y = 3 – 4x 4x + 3y = 3

STANDARD FORM OF LINEAR EQUATION

Ax + By = C3. - = 1

4. y - = 2(x + 1)

12 ( - = 1) 12 8x - 3y = 12

y - = 2x + 22 (y - = 2x + 2) 22y - = 4x + 4-4x + 2y = 4+1-1(-4x + 2y =

5)-14x - 2y = -5

SLOPE – INTERCEPT FORMy = mx + b

Transform each linear function in slope intercept form. Then, identify the value of m and b.

1. 4x - y = 1

2. 2x + 3y = 6

3. x + y + 1 = 04. + = 3

Linear Equation

Graph each linear function.1. y = 3x - 2

X -1 0 2

y

SLOPE OF A LINE

If are points of the line representing the linear function y = mx + b, then the slope m of the line is

m = =

SLOPE OF A LINEDetermine the slope of the linear functions that passes through the given pairs of points. Then draw the graph of the linear functions.

1. (3,2) , (5,6)

2. (-2,0) , (1,-2)

The Slope, the trends and the graph of linear function

If the slope is positive, the graph of a linear function points upward to the right, and the linear function increases all throughout.

The Slope, the trends and the graph of linear function

If the slope is negative, the graph of a linear function points upward to the left, and the linear function decreases all throughout.

The Point – Slope Form

If the graph of a linear function y has a slope and passes through , then its equation is

= m()

The Point – Slope Form

Write the equation of the linear function y in slope-intercept form and in standard form whose graph passes through the given point and has given slope m.

1. (-1,2) , m = 2

2. (3,-2) , m = -

The Two - Point Form

If the graph of a linear function passes through the points and , then its equation is

= ()

Write the equation of the 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)

The Two - Point Form

The Intercept Form

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

Write the equation of the linear function y in slope-intercept form and in standard form whose graph has given x-intercept a and y-intercept b.

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

The Two - Point Form