Equations of Lines

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.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as 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 is the equation of a line that is parallel to y = 2x - 1 and passes through (4, 6)?

Back

y = 2x - 2.

Front

How do you convert the standard form of a linear equation (Ax + By = C) to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Front

What is the slope of the line represented by the equation y = 3/4x - 5?

Back

The slope is 3/4.

Front

What is the y-intercept of the line y = -1/4x - 3?

Back

The y-intercept is -3.

Front

Find the equation of the line with a slope of 3 and passing through the point (-4, 1).

Back

y = 3x + 13.

Front

What is the slope of the line that passes through the points (-2, 3) and (-1, 7)?

Back

The slope is 4.

Front

What is the equation of the line that passes through the points (4, -2) with a slope of 3/4?

Back

y = 3/4x - 5.