# Slope and y intercept in real world examples

Post on 13-Apr-2017

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Slope and y-intercept

Slippery SlopesA lesson on interpreting slope and y-intercept in real world examples

Standard:MAFS.912.S-ID.3.7:

Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

Problem of the Day:

Solve for the slope between (-1,-5) and (6,9).

m=2m= y2-y1 x2-x1

m= 9-(-1) 6-(-1)

m= 14 7

9-(-5)/6-(-1) = 14/7 = 23

VocabularySlope intercept form- y=mx+b, where m is slope and b is the y-intercept

Slope- Change in y over change in x (rate of change)

Y-intercept- the value of y when x is zero

Example of Slope in a Real World Scenario m= Change in height Change in time

The graph to the right shows the growth of a tree at a constant rate, over a period of four years. Interpret the slope of the line.

Example of Slope in a Real World Scenario

m= change in distance change in time

Example of Y-Intercept in a Real World Scenario.

For example: The y-intercept in this graph is 1080, meaning it is the amount the person owes before he/she began making payments. (zero payments have been made, \$1080 owed)

The graph then shows that over the next 24 months this debt will be paid off.