Writing Linear Equations

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 between 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 does it mean for two lines to be perpendicular?

Back

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

Front

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

Back

The y-intercept is 4.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

Rearrange the equation Ax + By = C to solve for y in terms of x.

Front

What is the slope of the line represented by the equation 2x + 3y = 6?

Back

The slope is -2/3.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is the x-coordinate of any point on the line.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is the y-coordinate of any point on the line.

Front

How do you graph the equation y = 2x - 1?

Back

Start at the y-intercept (0, -1) and use the slope (2) to find another point.