Unit 5 Lessons 1-5 review HW

Front

What is the slope of parallel lines?

Back

The slopes of parallel lines are the same.

Front

Determine if the lines x + 2y = 7 and 4x - y = 6 are parallel, perpendicular, or not related.

Back

These lines are not related.

Front

Are the lines y = -1/3x - 5 and y = 1/3x + 2 parallel, perpendicular, or neither?

Back

These lines are neither.

Front

Write an equation of the line perpendicular to y = -3x - 5 that passes through (6, -4). What is the slope?

Back

The slope is 1/3.

Front

Write an equation of the line parallel to y = -6x + 3 that goes through the point (-1, 4). What is the equation?

Back

The equation is y = -6x - 2.

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they have the same slope.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees); their slopes are negative reciprocals.

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 slope-intercept form of a line?

Back

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

Front

If two lines have slopes m1 and m2, when are they parallel?

Back

Two lines are parallel if m1 = m2.