Slopes of Lines with Graphs

• They have different starting points (y-intercepts).

• They have different slopes.

• They have the same slopes and will create intersecting lines.

• They have the same slopes and will create parallel lines.

•   $y=\frac{2}{3}x$  is a translation of  $y=\frac{2}{3}x+4$  4 units down.

What is the rate of change (slope) of the line shown?

• 40/1

• 50/1

• 10/1

• 1/10

• They have the same slope.

• They are parallel lines.

• They have the same y-intercept.

Which situation could be represented by the graph above?

Which situation could be represented by the graph above?

• The amount of money, y, in a cash box after x tickets are purchased for carnival games. The slope of the line is  $\frac{1}{4}$  and the y-intercept is 7 .

• The amount of money, y, in a cash box after x tickets are purchased for carnival games. The slope of the line is  $\frac{1}{4}$ .

• The amount of money, y, in a cash box after x tickets are purchased for carnival games. The slope of the line is  $\frac{4}{1}$  .

A linear relationship is

• always a positive line.

• a relationship between two quantities

• always a negative line.

• one quantity has a constant rate of change with respect to the other.

How can you find the rate of change from a non-proportional graph?

• I can pick a point, then divide y/x.

• I can look at the point where the line crosses the vertical axis.

• I can take any two points on the graph and divide the amount of vertical change (y-y) by the amount of horizontal change (x-x).

• I can use any one point to fin the rate of change.

• I can count rise over run.

What are possible slopes of a graph?

• only positive and negative

• positive, negative, undefined, and zero

• only undefined and zero

• zero

The equation for slope-intercept form is y=mx + b, where m= ______(constant rate) and b=_______

• slope, x-intercept

• rate

• equation

• slope, y-intercept

Another word for slope is....

• rate of change

• fills the inside

• covers the outside

• change in size