Writing Equations of Lines Exam Review

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation 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 using the formula 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.

Front

If a line has a slope of 0, what is its orientation?

Back

A line with a slope of 0 is horizontal.

Front

If a line has an undefined slope, what is its orientation?

Back

A line with an undefined slope is vertical.

Front

What is the equation of a line that passes through the point (4, -3) and is parallel to y = 2x + 5?

Back

The equation is y = 2x - 11.

Front

What is the equation of a line that is perpendicular to y = -\frac{1}{2}x + 3 and passes through (6, 2)?

Back

The equation is y = 2x - 10.

Front

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

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the slope of the line given by the equation y = 4x - 9?

Back

The slope of the line is 4.