Forms of Linear Equations

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are constants.

Front

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

Back

y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is a point on the line.

Front

Convert the equation 4x - 3y = 12 to slope-intercept form.

Back

y = (4/3)x - 4.

Front

What are the x- and y-intercepts of the equation 5x - 3y = 15?

Back

(3, 0) and (0, -5).

Front

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

Back

Slope of the line.

Front

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

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from two points (x₁, y₁) and (x₂, y₂)?

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁).

Front

What is the y-intercept of the equation y = 2x + 5?

Back

5, which is the point (0, 5) on the graph.

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope.

Front

What is the relationship between perpendicular lines in terms of slope?

Back

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