Writing Linear Equations Practice

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the ratio of the rise (change in y) over the run (change in x) between two points on the line.

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 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 is the slope-intercept form of a linear equation?

Back

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

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) in the equation y = mx + b.

Front

How do you determine if a line is vertical?

Back

A vertical line has an undefined slope and is represented by the equation x = a, where 'a' is a constant.

Front

How do you determine if a line is horizontal?

Back

A horizontal line has a slope of 0 and is represented by the equation y = b, where 'b' is a constant.

Front

What is the equation of a line that is parallel to y = 3x + 2 and passes through the point (1, 5)?

Back

The equation of the line is y = 3x + 2.

Front

What is the equation of a line that is perpendicular to y = 2x - 1 and passes through the point (2, 3)?

Back

The slope of the perpendicular line is -1/2. The equation is y = -1/2x + 4.

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.