Slopes and More

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation y = mx + b.

Front

What does 'm' represent in the slope-intercept form y = mx + b?

Back

'm' represents the slope of the line.

Front

What does 'b' represent in the slope-intercept form y = mx + b?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet and have the same slope.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees) and have slopes that are negative reciprocals of each other.

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 is the point-slope form of a line?

Back

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

Front

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

Back

To convert from standard form Ax + By = C to slope-intercept form y = mx + b, solve for y.

Front

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

Back

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

Front

If two lines have the same slope, what can we conclude about them?

Back

If two lines have the same slope, they are parallel.