Writing Linear Equations: Tables ,Graphs & Points

Front

What does it mean for a line to be proportional?

Back

A proportional line passes through the origin (0,0) and has a constant slope.

Front

What does it mean for a line to be non-proportional?

Back

A non-proportional line does not pass through the origin and has a varying slope.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases.

Front

What does a slope of zero indicate?

Back

A slope of zero indicates a horizontal line where y remains constant regardless of x.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where x remains constant regardless of y.

Front

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

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

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

Back

The point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

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

Back

Rearrange the equation to solve for y: y = mx + b.