Equations of Parallel and Perpendicular Lines

Front

What is the slope of a line parallel to the line y = 2x + 3?

Back

The slope of a line parallel to y = 2x + 3 is 2.

Front

What is the slope of a line perpendicular to the line y = 4x - 1?

Back

The slope of a line perpendicular to y = 4x - 1 is -1/4.

Front

If two lines have slopes m1 and m2, when are they parallel?

Back

Two lines are parallel if m1 = m2.

Front

If two lines have slopes m1 and m2, when are they perpendicular?

Back

Two lines are perpendicular if m1 * m2 = -1.

Front

Convert the equation 2x + 3y = 6 to slope-intercept form.

Back

y = -2/3x + 2.

Front

What is the equation of a line that passes through the point (2, 3) and has a slope of 5?

Back

y - 3 = 5(x - 2) or y = 5x - 7.

Front

Determine if the lines y = 3x + 1 and y = 3x - 4 are parallel, perpendicular, or neither.

Back

They are parallel.

Front

What is the slope-intercept form of the line with the equation 5x - 2y = 10?

Back

y = 5/2x - 5.

Front

Write the equation of a line that is perpendicular to y = -1/2x + 4 and passes through the point (0, 2).

Back

y = 2x + 2.

Front

If the equation of a line is y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.