Writing Linear Equations in All 3 Forms

Front

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

Back

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

Front

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

Back

The slope-intercept form is represented as: y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the standard form of a linear equation?

Back

The standard form is represented as: Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Convert the equation 19x = y into standard form.

Back

The standard form is: 19x - y = 0.

Front

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

Back

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

Front

Write the equation of a line in standard form that passes through (4, -3) and (2, 0).

Back

The equation in standard form is: 3x + 2y = 6.

Front

Given the equation y = -3x - 5, what is the ordered pair when x = 2?

Back

The ordered pair is (2, -11).

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0; it is where the line crosses the y-axis.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).