Type of Slope/y-intercept from Graph

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in y (vertical) over the change in x (horizontal).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero, meaning there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero, leading to division by zero.

Front

How do you find the y-intercept from a graph?

Back

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

Front

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

Back

The y-intercept is -3, which is the value of y when x = 0.

Front

What is the y-intercept of the line represented by the equation y = -1/2x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

If a line has a slope of 0, what can you say about its graph?

Back

The graph of a line with a slope of 0 is a horizontal line.

Front

If a line has a negative slope, what can you say about its graph?

Back

The graph of a line with a negative slope decreases from left to right.