Slope Flashcard

Front

What is the slope of a line in the equation y - 3 = 2(x + 4)?

Back

The slope of the line is 2.

Front

What point does the line y - 3 = 2(x + 4) contain?

Back

The line contains the point (-4, 3).

Front

How do you write the equation of a line in point-slope form?

Back

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

Given the point (-1, 2) and slope m = 7, what is the point-slope form of the line?

Back

The point-slope form is y - 2 = 7(x + 1).

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the formula to calculate the slope between 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, represented as (0, b) in the equation y = mx + b.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other, meaning if one slope is m, the other is -1/m.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.