4.3 Parallel and Perpendicular

Front

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

Back

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

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

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 of a line that is perpendicular to a line with a slope of -3?

Back

The slope of a line that is perpendicular to a line with a slope of -3 is 1/3.

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 a line with a slope of 2 is also 2.

Front

What is the y-intercept of the line y = 4x + 5?

Back

The y-intercept of the line y = 4x + 5 is 5.

Front

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

Back

To find the equation of a line given a point (x1, y1) and a slope m, use the point-slope form: y - y1 = m(x - x1).

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

How do you convert the point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the equation of a line that is parallel to y = 3x + 2 and passes through (1, 4)?

Back

The equation of the line is y = 3x + 1.