*EOC Review Practice #1 Geometry*

Front

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

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

Back

The distance d is given by d = √((x2 - x1)² + (y2 - y1)²).

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

What is the slope-intercept form of a line?

Back

The slope-intercept form is given by 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

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line that is parallel to y = 3x + 2 and passes through (1, 4)?

Back

The equation is y = 3x + 1.

Front

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

Back

The equation is y = rac{1}{2}x + 0.

Front

How do you determine if two lines represented by equations are parallel, perpendicular, or neither?

Back

Convert the equations to slope-intercept form and compare the slopes.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis (x=0).