Parallel and Perpendicular Lines 2 Classwork

Front

What is the slope of a line parallel to y=1/2x−3?

Back

The slope is 1/2.

Front

What is the slope of a line parallel to y=−3x+4?

Back

The slope is -3.

Front

What is the slope of a line perpendicular to y=1/2x−3?

Back

The slope is -2 (negative reciprocal of 1/2).

Front

What is the slope of a line perpendicular to y=5x−7?

Back

The slope is -1/5 (negative reciprocal of 5).

Front

How do you find the equation of a line parallel to a given line?

Back

Use the same slope as the given line and the point-slope form to find the equation.

Front

How do you find the equation of a line perpendicular to a given line?

Back

Use the negative reciprocal of the slope of the given line and the point-slope form.

Front

What is the point-slope form of a line?

Back

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

Front

What is the slope-intercept form of a line?

Back

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

Front

If a line has a slope of 3, what is the slope of a line parallel to it?

Back

The slope of the parallel line is also 3.

Front

If a line has a slope of -4, what is the slope of a line perpendicular to it?

Back

The slope of the perpendicular line is 1/4 (negative reciprocal of -4).