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-value with respect to the x-value. It indicates how steep the line is.

Front

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

Back

Front

What is the y-intercept in a linear equation?

Back

Front

What is the standard form of a linear equation?

Back

Front

How can you convert a linear equation 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 write an equation from a table of values?

Back

To write an equation from a table, identify the slope using two points from the table, then use one point to find the y-intercept.

Front

What is the point-slope form of a linear equation?

Back