Find the equation of a line in slope-intercept form

Front

What is the slope-intercept form of a line?

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?

Back

Front

What is the y-intercept of a line?

Back

Front

How do you graph a line in slope-intercept form?

Back

To graph a line in slope-intercept form, start at the y-intercept (0, b) on the y-axis, then use the slope (rise/run) to find another point on the line.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -3?

Back

Front

If a line has a slope of -1, what does this indicate about its direction?

Back

A slope of -1 indicates that the line falls as it moves from left to right, meaning for every unit increase in x, y decreases by 1 unit.

Front

Back

Front

What is the significance of a slope of 0?

Back

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

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts, meaning they will never intersect.