Linear Forms Review

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Convert the equation y = 3x + 2 into standard form.

Back

3x - y = -2

Front

What ordered pair represents a y-intercept on a graph?

Back

(0, b) where b is the y-coordinate.

Front

Convert the equation y = \frac{1}{4}x + 4 into standard form.

Back

x - 4y = -16

Front

Which equation is in standard form?

Back

7x + 2y = 9

Front

What is 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

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

Back

Slope (m) = \frac{y₂ - y₁}{x₂ - x₁}.

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 of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

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

Back

Rearrange the equation y = mx + b to the form Ax + By = C.