Thinking with Mathematical Models - Slope & Linearity

Front

What is the slope-intercept form (used to graph a line)?

Back

y=mx+b

Front

Find the slope of a line containing the points (8,10) and (4,3).

Back

Slope = (y2 - y1) / (x2 - x1) = (3 - 10) / (4 - 8) = -7/4

Front

What is the slope of this line if it rises 3 units for every 2 units it runs?

Back

3/2

Front

What is the slope of a line?

Back

Its steepness.

Front

Using the table, determine the slope of this line if it goes down 3 units for every 2 units it runs to the right.

Back

-3/2

Front

What does a positive slope indicate about a line?

Back

The line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

The line falls from left to right.

Front

If a line has a slope of 0, what does that mean?

Back

The line is horizontal.

Front

If a line has an undefined slope, what does that mean?

Back

The line is vertical.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1)