Distance, Pythagorean Theorem, & Parallel/Perpendicular

Front

What is the distance formula used to calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the Pythagorean Theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope-intercept form of a line?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

If a line has a slope of 2, what is the slope of a line perpendicular to it?

Back

The slope of the perpendicular line is -1/2.

Front

What is the distance between the points (1, 2) and (4, 6)?

Back

Distance = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Front

What is the equation of a line that passes through the point (2, 3) with a slope of 4?

Back

y - 3 = 4(x - 2) or y = 4x - 5.

Front

How do you find the distance between two points on a coordinate plane?

Back

Use the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

What is the relationship between parallel lines in terms of slope?

Back

Parallel lines have the same slope.

Front

What is the equation of a line that is perpendicular to y = 3x + 1 and passes through the point (1, 2)?

Back

y - 2 = -1/3(x - 1) or y = -1/3x + 7/3.