Practice 11-26-24

Front

What is the equation of a line that is parallel to y = (-3/5)x - 3 and passes through the point (5,-1)?

Back

y = (-3/5)x + 2

Front

What is the equation of a line that is perpendicular to y = 3x - 12 and passes through the point (-9,2)?

Back

y = (-1/3)x - 1

Front

Simplify the radical √24.

Back

2√6

Front

Using a trend line, predict the number of chapters in a book with 140 pages based on a scatter plot showing the relationship between chapters and pages.

Back

14 chapters

Front

Write the equation in point-slope form of the line that passes through (-4, 7) with a slope of 1/4.

Back

y - 7 = 1/4(x + 4)

Front

What is the definition of a parallel line?

Back

Two lines that have the same slope and never intersect.

Front

What is the definition of a perpendicular line?

Back

Two lines that intersect at a right angle (90 degrees).

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 is the point-slope form of a linear equation?

Back

y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What does it mean to simplify a radical?

Back

To express the radical in its simplest form, removing any perfect square factors.