Write equations of lines

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

Write the equation of the line in slope-intercept form with slope m = 4 through the point (-2, 5).

Back

y = 4x + 13.

Front

Write the equation of the line in slope-intercept form with slope m = 1/3 through the point (0, -2).

Back

y = 1/3x - 2.

Front

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

Back

To convert y = mx + b to standard form Ax + By = C, rearrange the equation to get all terms on one side.

Front

Write the equation of the line in standard form through the points (-6, -19) and (2, 5).

Back

3x - y = 1.

Front

What is the slope of a line parallel to the line with slope m = 3/4?

Back

The slope of a parallel line is also 3/4.

Front

What is the y-intercept of the line y = 2x + 5?

Back

The y-intercept is 5.