Alg 1 Ch 4 Flashcard Review

Front

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

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How can you determine the y-intercept of a linear equation?

Back

The y-intercept is the value of y when x = 0, which can be found by setting x to 0 in the equation.

Front

What is the equation of a line that passes through the point (0, b)?

Back

The equation of a line that passes through the point (0, b) is y = mx + b, where m is the slope.

Front

How do you convert the standard form of a linear equation Ax + By = C to slope-intercept form?

Back

To convert to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

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

Back

The slope indicates the steepness of the line and the direction it moves: positive slope goes up, negative slope goes down.

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the relationship between the slopes of parallel and perpendicular lines?

Back

Parallel lines have equal slopes, while perpendicular lines have slopes that are negative reciprocals of each other.