Slope and y-intercept

Front

What is the y-intercept of a graph?

Back

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

Front

How do you find the slope of a line?

Back

The slope is found by using the formula: slope = rise/run, which represents the change in y over the change in x.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What is the y-intercept in the equation y = -2x + 5?

Back

The y-intercept is 5, represented as the point (0, 5).

Front

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

Back

Use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (2, 4) and (6, 12)?

Back

The slope is 2.

Front

What is the y-intercept of the line represented by the equation y = 3/2x + 3?

Back

The y-intercept is 3, represented as the point (0, 3).

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope occurs in vertical lines where the change in x is 0, making the slope calculation impossible.