Graphing Lines

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

What is the y-intercept of a line?

Back

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

Front

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

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y by isolating it on one side of the equation.

Front

What does the equation y = mx + b represent?

Back

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

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the direction and steepness of the line. A positive slope means the line rises from left to right, while a negative slope means it falls.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).

Front

How can you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that one slope is the negative reciprocal of the other.

Front

What is the slope of the line represented by the equation y = -4/5x + 3?

Back

The slope of the line is -4/5.

Front

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

Back

The y-intercept of the line is 3.

Front

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

Back

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