Interpreting Linear Functions

Front

What is a y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis, represented as (0, y).

Front

Which point represents a y-intercept?

Back

(0, y) where x = 0.

Front

What does the y-intercept indicate in a real-world context?

Back

It represents the starting value of a situation before any changes occur.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' is the y-intercept of the line.

Front

If a line has a y-intercept of 5, what is the point on the graph?

Back

(0, 5) is the y-intercept.

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as x increases, y decreases.

Front

How can you find the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope is 2.

Front

What does the term 'linear function' mean?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b.