Slope-Intercept Form 2.08

x 0 4 8 12 16

y 20 21 22 23 24

in weeks

The baby was 20 inches long when it was born and is growing at a rate of 1 inch every 4 weeks.

y=14𝑥+20

Determine the slope (rate of change)

1

4

Vocabulary

Slope:The rate of change of a line, written as a fraction

Initial Value:The y-value when x = 0Also called the starting point and the y-intercept

Slope-Intercept form of a line:

y = mx + bSlope

Rate of change

Initial Value

Y-Intercept

Starting point

Steps:

1) Identify the slope of the line.

2) Identify the y-intercept (initial value, starting point).

3) Plug these values into the Slope-Intercept equation for m and b.

Examples:

𝑦=−23𝑥+3

3

-2

Examples:

Nuo planted a tree when it was 6 inches tall. It has consistently grown 5 inches every 2 years.

Practice!

Complete the back carefully.