Writing Linear Equations

Front

What is a linear equation?

Back

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-coordinate with respect to the x-coordinate. It indicates how steep the line is.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the y-intercept of a linear equation?

Back

Front

What is the equation of a line with a slope of -2 and a y-intercept of 4?

Back

Front

How do you find the equation of a line given two points?

Back

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

Front

What does it mean if the slope of a line is zero?

Back

A slope of zero means the line is horizontal, indicating that there is no change in the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in x is zero, leading to division by zero in the slope formula.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.