Skill 8, Review

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does it mean if the slope of a line is 0?

Back

A slope of 0 indicates that the line is horizontal.

Front

What does it mean if the slope of a line is undefined?

Back

An undefined slope indicates that the line is vertical.

Front

If two lines are parallel, what can be said about their slopes?

Back

The slopes of parallel lines are the same.

Front

If two lines are perpendicular, how are their slopes related?

Back

The slopes of perpendicular lines are negative reciprocals of each other.

Front

Write the equation of a line in slope-intercept form given a slope of 2 and a y-intercept of -3.

Back

The equation is y = 2x - 3.

Front

How do you write the equation of a line given a point (x1, y1) and a slope m?

Back

Use the point-slope form: y - y1 = m(x - x1).

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2, calculated as (6 - 2) / (3 - 1).

Front

What is the slope of the line that passes through the points (-4, 7) and (-6, -4)?

Back

The slope is 11/2, calculated as (-4 - 7) / (-6 + 4).

Front

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

Back

The equation is y = (-3/5)x - 1.