All Forms of Linear Equations

Front

Write in standard form: 4x - 2y + 3 = 7 - 4y

Back

4x + 2y = 4

Front

Which of these represents point-slope form of a linear equation?

Back

y - y₁ = m(x - x₁)

Front

Write the equation in point-slope form for the line that contains the points (-2, -3), (4, 3)

Back

y + 3 = 1(x + 2)

Front

What is the slope of the equation 3x + 4y = 16?

Back

-3/4

Front

Write the standard form of an equation that is perpendicular to 2x - 5y = 10 and passes through (-2, 1).

Back

5x + 2y = -8

Front

Define standard form of a linear equation.

Back

Standard form is Ax + By = C, where A, B, and C are integers.

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 does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

Convert the slope-intercept form y = 2x + 3 to standard form.

Back

-2x + y = 3.