Parallel/perpendicular lines using point and equation

Front

What is the slope of a line that is perpendicular to a line with a slope of -1?

Back

The slope of a line that is perpendicular to a line with a slope of -1 is 1.

Front

What is the slope of a line that is parallel to a line with a slope of -\frac{5}{3}?

Back

The slope of a line that is parallel to a line with a slope of -\frac{5}{3} is also -\frac{5}{3}.

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y_1 = m(x - x_1), where (x_1, y_1) is the point and m is the slope.

Front

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

Back

The point-slope form is y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is a point on the line.

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 a line with a slope of 2 is -\frac{1}{2}.

Front

What is the equation of a line that passes through the point (5, 2) and is perpendicular to the line y = -x - 2?

Back

The equation is y = x - 3.

Front

What is the equation of a line that passes through the point (-3, 2) and is parallel to the line y = -\frac{5}{3}x?

Back

The equation is y = -\frac{5}{3}x - 3.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

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.