Standard Form & Point Slop Form & Parallel / Perpendicular

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, and A should be non-negative.

Front

How do you convert from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

Front

What is point-slope form of a linear equation?

Back

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

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

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

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 equation y + 5 = -3(x - 6) into slope-intercept form.

Back

y = -3x + 13.

Front

What are the x and y intercepts of the equation 4x - 5y = 40?

Back

x intercept is 10, y intercept is -8.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope (m) is 2.

Front

If a line has a slope of 5/8, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -8/5.