REVIEW-Equations of Lines

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the change in y (rise) over the change in x (run).

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. This means that one line's slope is the negative reciprocal of the other's.

Front

Convert the equation of the line y - 2 = 4(x + 1) into slope-intercept form.

Back

y = 4x + 6.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

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

Back

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

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of the line y = -2x + 5?

Back

The y-intercept is 5.

Front

If two lines have slopes of 1/3 and -3, are they perpendicular?

Back

Yes, because the product of their slopes is -1.

Front

What is the equation of a line with a slope of 0?

Back

The equation is y = b, where b is a constant. This represents a horizontal line.