Writing Linear Equations & Parallel & Perpendicular Lines Review

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

How do you determine if two lines are perpendicular?

Back

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

Front

What is the slope of the line represented by the equation y = 4x + 2?

Back

The slope is 4.

Front

What is the equation of a line with a slope of 2 that passes through the point (1, 3)?

Back

The equation is y = 2x + 1.

Front

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

Back

Solve for y to get y = (-A/B)x + (C/B).