Find the equation of a line in slope-intercept form

Front

What is the slope-intercept form of 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 y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means the line rises, negative slope means it falls).

Front

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

Back

Front

What is the y-intercept of a line?

Back

Front

If a line has a slope of 2 and a y-intercept of -3, what is the equation of the line?

Back

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no change in x as y changes.

Front

How can you determine if two lines are parallel?

Back

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

Front

How can you determine if two lines are perpendicular?

Back

Front

What is the equation of a line that passes through the point (1, 2) with a slope of 3?

Back