Doman-Range-Slope-Parallel-Perpendicular

Front

What is the definition of the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How do you find the slope between 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 indicates a vertical line, where the change in x is zero, leading to division by zero in the slope formula.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the slope of a line parallel to a line with slope m?

Back

The slope of a line parallel to another line is the same as the slope of the original line.

Front

What is the slope of a line perpendicular to a line with slope m?

Back

The slope of a line perpendicular to another line is the negative reciprocal of the original slope, calculated as -1/m.

Front

If a line passes through the points (2, 3) and (4, 7), what is its slope?

Back

The slope is m = (7 - 3) / (4 - 2) = 4/2 = 2.

Front

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

Back

The slope of the line is 3, which is the coefficient of x in the equation.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.