Midpoint and Line Equation (Week 2 Review)

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 midpoint formula for finding the midpoint between two points (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

If a line has a slope of -5, what is the slope of a line parallel to it?

Back

The slope of a parallel line is also -5.

Front

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

Back

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

Front

What is the equation of a line that passes through the point (3, 1) with a slope of -5?

Back

y - 1 = -5(x - 3) or y = -5x + 16.

Front

What is the equation of a line that passes through the point (5, -2) with a slope of 7?

Back

y + 2 = 7(x - 5) or y = 7x - 37.