Slope

Front

What is the slope in a linear equation?

Back

The slope (m) represents the rate of change of the y-coordinate with respect to the x-coordinate. It indicates how steep a line is.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero (m = 0) because 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 change in x is zero, leading to division by zero in the slope formula.

Front

What variable represents slope in the slope-intercept form of a line?

Back

The variable 'm' represents the slope in the slope-intercept form, which is y = mx + b.

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

Find the slope of the line passing through the points (2, 3) and (4, 7).

Back

Using the formula, m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

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

Back

The slope of the line is 3, as it is the coefficient of x in the slope-intercept form.

Front

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

Back

A slope of 1/2 means that for every 2 units the line moves horizontally to the right, it moves 1 unit vertically up.