Test 5 Review

Front

What is the formula to calculate the slope of a line passing through two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope occurs when a line is vertical, meaning the x-coordinates of the two points are the same (x1 = x2).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no change in the y-value as the x-value changes.

Front

How do you determine which of two lines is steeper?

Back

The steepness of a line is determined by its slope; a larger absolute value of the slope indicates a steeper line.

Front

If a line has a slope of 1, what does this mean?

Back

A slope of 1 means that for every unit increase in x, there is a corresponding unit increase in y, resulting in a 45-degree angle with the x-axis.

Front

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

Back

The slope of the line is 3, indicating that for every unit increase in x, y increases by 3 units.

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, represented by the value of y when x = 0.

Front

How can you tell if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.