Slope & Y-Intercept

Front

What is the definition of slope in a linear equation?

Back

Slope is a measure of the steepness of a line, represented by 'm' in the equation y = mx + b.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

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

Back

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

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

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Front

How can you identify the slope from the equation y = 4x - 7?

Back

The slope is 4, which is the coefficient of x.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

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 = (-A/B)x + (C/B).

Front

What is the significance of a positive slope?

Back

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