Forms of Linear Equations, Parallel and Perpendicular

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form is given by the equation: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

'b' represents the y-intercept of the line.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning their slopes are negative reciprocals.

Front

Write the equation of a line that is perpendicular to y = 2x + 3 and passes through the point (1, 2).

Back

The slope of the line perpendicular to y = 2x + 3 is -1/2. Using Point-Slope Form: y - 2 = -1/2(x - 1) simplifies to y = -1/2x + 5/2.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line is -3.

Front

What is the y-intercept of the line represented by the equation y = 4x - 7?

Back

The y-intercept is -7.

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.

Front

If a line has an undefined slope, what type of line is it?

Back

A line with an undefined slope is a vertical line.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.