Slope and Y-Intercept from Graphs and Tables

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does a proportional relationship look like on a graph?

Back

A proportional relationship is represented by a straight line that passes through the origin (0,0).

Front

What is the formula for a proportional relationship?

Back

y = kx, where k is the constant of proportionality.

Front

What does a non-proportional relationship look like on a graph?

Back

A non-proportional relationship is represented by a straight line that does not pass through the origin.

Front

What is the formula for a non-proportional relationship?

Back

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

Front

How do you find the slope from a graph?

Back

To find the slope, select two points on the line, calculate the rise (change in y) and run (change in x), and divide rise by run.

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the significance of the y-intercept in a real-world context?

Back

The y-intercept can represent the starting value of a situation when x is zero.

Front

How can you determine if a table of values represents a proportional relationship?

Back

A table represents a proportional relationship if the ratio of y to x is constant for all pairs of values.