Finding Slope

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation 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

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 trend.

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 trend.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you identify the slope from the equation of a line in slope-intercept form?

Back

In the slope-intercept form y = mx + b, 'm' represents the slope.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to get y = mx + b.

Front

What is the slope of the line represented by the equation 2x - 3y = 6?

Back

The slope is 2/3 after rearranging the equation to slope-intercept form.