Perpendicular Lines

Front

What is the definition of perpendicular lines in geometry?

Back

Perpendicular lines are two lines that intersect at a right angle (90 degrees).

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

How do you find the slope of a line given its equation in slope-intercept form (y = mx + b)?

Back

The slope (m) is the coefficient of x in the equation.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slopes of two perpendicular lines are negative reciprocals of each other. If one line has a slope of m, the other line's slope will be -1/m.

Tags

CCSS.HSG.CO.A.1

Front

If a line has a slope of 3, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -1/3.

Tags

CCSS.8.EE.B.6

Front

What is the slope of a line perpendicular to the line y = 5x - 10?

Back

The slope is -1/5.

Tags

CCSS.8.EE.B.6

Front

How do you convert the standard form of a line (Ax + By = C) to slope-intercept form (y = mx + b)?

Back

Isolate y on one side of the equation to express it in the form y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the slope of a line perpendicular to the line y = -2/9x + 1?

Back

The slope is 9/2.

Tags

CCSS.8.EE.B.6

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Tags

CCSS.8.EE.B.5

Front

Find the slope of the line that would be perpendicular to the line that contains the points (5, -9) and (6, -4).

Back

The slope is -1/5.

Tags

CCSS.8.EE.B.5

Front

Which equation is perpendicular to y = -2x - 4?

Back

y = 1/2x - 12.