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-value with respect to the x-value. 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 linear equation?

Back

Front

How do you convert from slope-intercept form to point-slope form?

Back

Front

What is point-slope form of a linear equation?

Back

Front

How do you write an equation in slope-intercept form given a point and slope?

Back

Front

What is the relationship between the slope and parallel lines?

Back

Parallel lines have the same slope. If two lines have equal slopes, they will never intersect.

Front

What is the relationship between the slope and perpendicular lines?

Back

Front

How do you determine if a point lies on a line represented by a linear equation?

Back

To determine if a point (x, y) lies on a line, substitute the x-value into the equation and see if the resulting y-value matches the y-value of the point.