Slope and y-intercept

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 a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases. The line falls 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 the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the x-value does not change, leading to division by zero.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is 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 2, what does this mean?

Back

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

Front

What is the y-intercept of the line y = 3x + 2?

Back

The y-intercept is 2, which is the value of y when x = 0.

Front

What is the y-intercept of the line y = -1/5x + 3?

Back

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