Chapter 4 Writing Linear Equations

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they have the same slope.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line.

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 slope of a line parallel to a line with slope m = 3?

Back

The slope of a line parallel to m = 3 is also 3.

Front

What is the slope of a line perpendicular to a line with slope m = -2?

Back

The slope of a line perpendicular to m = -2 is 1/2.

Front

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

Back

The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Front

Write the equation of a line with slope 1 through the point (2, 3).

Back

y - 3 = 1(x - 2) or y = x + 1.

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

Back

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