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 y with respect to x. It indicates how steep the line is and the direction it goes. A positive slope means the line rises, while a negative slope means it falls.

Front

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

Back

Front

What is the y-intercept of a linear equation?

Back

Front

How do you write the equation of a line given a slope and a point?

Back

Front

What is the standard form of a linear equation?

Back

Front

How can you convert from slope-intercept form to standard form?

Back

Front

What does it mean for two lines to be parallel?

Back

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

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means one slope is the negative reciprocal of the other.

Front

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

Back