Writing Linear Equations & Parallel & Perpendicular Lines Review

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is 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 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 (i.e., they are opposite reciprocals).

Front

Write the equation of a line with a slope of 3 and a y-intercept of 2.

Back

y = 3x + 2.

Front

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

Back

The slope of a line parallel to it is also -2.

Front

If a line has a slope of 1/3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -3 (the opposite reciprocal of 1/3).

Front

What is the y-intercept of the line y = 5x - 7?

Back

The y-intercept is -7.

Front

How do you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

Rearranging gives y = -2/3x + 2.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope is -4.