Writing Linear Equations

Front

What is the formula to calculate the slope between two points?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, meaning their slopes are opposite reciprocals.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

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 y-intercept of a line given its equation?

Back

The y-intercept is the value of y when x = 0 in the equation of the line.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where b is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where a is a constant.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the slope and y-intercept, plot the y-intercept on the graph, and use the slope to find another point.