Module 4 Flashcardizz

Front

What does the inequality 4x - y > 5 represent graphically?

Back

The inequality represents a region above the line 4x - y = 5 on a graph.

Front

How do you convert the slope-intercept form of a linear equation to standard form?

Back

To convert y = mx + b to Ax + By = C, rearrange the equation to isolate the variables on one side.

Front

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

Back

The slope is 3.

Front

What is the y-intercept of the line represented by the equation y = -2x + 4?

Back

The y-intercept is 4.

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 is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

In which quadrant is the point (6, 3) located?

Back

The point (6, 3) is located in Quadrant I.

Front

What is the slope of the line represented by the equation y = -1/3x + 1?

Back

The slope is -1/3.

Front

How do you determine if a point lies above or below a line represented by an inequality?

Back

Substitute the point's coordinates into the inequality; if the inequality holds true, the point lies above the line.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By + C = 0, where A, B, and C are constants.