Graphing Standard Form

Front

What is the x-intercept of a line?

Back

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

Front

How do you graph the equation 2x + 4y = 4?

Back

To graph, rearrange to slope-intercept form (y = mx + b) or find intercepts. The x-intercept is (2, 0) and the y-intercept is (0, 1).

Front

What is standard form of a linear equation?

Back

Standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Identify the standard form equation: y = 1/2x + 2, y - 3 = -5(x + 2), -7x + 2y = 9, 3x + 2 = y.

Back

-7x + 2y = 9 is in standard form.

Front

What does the equation x = 5 represent?

Back

It represents a vertical line that crosses the x-axis at (5, 0).

Front

What is the y-intercept of the line 2x + 4y = 12?

Back

The y-intercept is the point where the line crosses the y-axis, found by setting x = 0. For this equation, it is (0, 3).

Front

How do you find the slope of a line from its equation in standard form?

Back

Convert to slope-intercept form (y = mx + b) to identify the slope (m).

Front

What is the slope of the line represented by the equation 3x + 2y = 6?

Back

Rearranging gives y = -3/2x + 3, so the slope is -3/2.

Front

What does it mean for a line to be horizontal?

Back

A horizontal line has a slope of 0 and is represented by an equation of the form y = b.

Front

What does it mean for a line to be vertical?

Back

A vertical line has an undefined slope and is represented by an equation of the form x = a.