Slope and Y-Intercept 12182024

Front

What is the y-intercept?

Back

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

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Front

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

Back

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

Front

What is the formula for the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of 1/2, what does this mean?

Back

A slope of 1/2 means that for every 2 units you move horizontally to the right, the line rises 1 unit vertically.

Front

What is the y-intercept of the line represented by the equation y = 3x + 4?

Back

The y-intercept is 4, which means the line crosses the y-axis at the point (0, 4).

Front

If the slope of a line is -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right, meaning it falls as you move along the x-axis.

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in the y-value as the x-value changes.

Front

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

Back

The y-intercept is 3, which means the line crosses the y-axis at the point (0, 3).

Front

How can you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula: Slope (m) = (y2 - y1) / (x2 - x1).