4.1 Flashcardizz

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

What are the coordinates of a point in Quadrant II?

Back

In Quadrant II, the x-coordinates are negative and the y-coordinates are positive.

Front

How do you determine the domain of a linear function?

Back

The domain of a linear function is all real numbers unless specified otherwise by constraints.

Front

What is the significance of creating a table of values for a linear equation?

Back

Creating a table of values helps to visualize the relationship between x and y, making it easier to plot the graph.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = k, where k is a constant.

Front

How do you identify the graph of a linear equation?

Back

To identify the graph, look for a straight line that represents the relationship defined by the equation.

Front

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

Back

The distance (d) is calculated using the formula d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the meaning of the term 'quadrant' in the Cartesian plane?

Back

A quadrant is one of the four sections of the Cartesian plane, divided by the x-axis and y-axis.