Writing Linear Equations (Including Parallel & Perpendicular)

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 of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope.

Front

What is the relationship between the slopes of perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

Front

How do you write 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 x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis (y = 0).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis (x = 0).

Front

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

Back

Rearrange the equation Ax + By = C to solve for y: y = (-A/B)x + (C/B).

Front

What is the equation of a line parallel to y = 3x + 2 that passes through the point (1, 4)?

Back

The equation is y = 3x + 1.

Front

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

Back

The equation is y = 1/2x + 2.