Parallel, Perpendicular & Point-Slope Form Practice

Front

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

Back

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

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 is the slope of a line that is parallel to a line with slope m = 3?

Back

The slope of a line parallel to another line is the same, so it is also m = 3.

Front

What is the slope of a line that is perpendicular to a line with slope m = 2?

Back

The slope of a line perpendicular to another line is the negative reciprocal, so it is m = -1/2.

Front

Write the equation of the line in point-slope form with a slope of -2 passing through the point (3, 4).

Back

y - 4 = -2(x - 3).

Front

Identify the slope and point on the line of y + 2 = 3(x - 1).

Back

m: 3, point: (1, -2).

Front

What is the relationship between the slopes of two parallel lines?

Back

The slopes of two parallel lines are equal.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines multiply to -1.

Front

Write the equation of the line in point-slope form with a slope of 5 and passing through the point (0, 2).

Back

y - 2 = 5(x - 0).

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.