Bell Ringer

Evaluate each expression.1) .25x + 2 for x = 16

2) -2x – 5 for x = 3

Solve each equation for y.3) y – 5 = 4x

4) 2y + 6 = -8x

What is a linear equation?

An equation whose graph is a line.

Slope-Intercept Form

What is a y – intercept?

Where the line crosses the y – axis.

Slope-Intercept Form

y = mx + b

where m = slope

b = y-intercept

Slope-Intercept Form

y = mx + b

What is the slope and y-intercept of:

y = 4x + 2

y = -2x - 1

What is the slope and y-intercept of:

y = 3x – 5

y = -2x

y = 4/5x + 5

You try!

Write an equation of the line with:

m = 3 and y-intercept of 7

m = -1 and y-intercept of -2

Write an equation of the line with the following slope and y – intercept:

1. m = -.5, y - intercept = 3

2. m = 1, y - intercept = -1

3. m = 2/3, y - intercept = 0

You try!

(0,2) and (4,-1)y-intercept is 2

(-2,2) and (4, 4)y-intercept is -2

Find the slope given your two points. Then write an equation in slope-intercept form using the y-intercept.

(-1,5) and (3,-3)y – intercept: 0

You try!

(3,2) (4,6)y – intercept: 1

Graphing with slope-intercept form.

y = 3x – 1

m = b =

Your y-intercept can be written as an ordered pair.

Graphing with slope-intercept form.

y = x – 3

m = b =

You try!

y = -1/2x + 2

m = b =

Homework