Writing & Graphing Equations

Front

What is the equation of a vertical line?

Back

x = a (where 'a' is a constant)

Front

What is the equation of a horizontal line?

Back

y = b (where 'b' is a constant)

Front

What is the standard form of a linear equation?

Back

Ax + By = C (where A, B, and C are integers, and A ≥ 0)

Front

What is slope-intercept form?

Back

y = mx + b (where m is the slope and b is the y-intercept)

Front

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

Back

m = (y2 - y1) / (x2 - x1)

Front

What does the slope of a line represent?

Back

The steepness of the line; it indicates how much y changes for a change in x.

Front

What is the y-intercept of a line?

Back

The point where the line crosses the y-axis (x = 0).

Front

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

Back

Rearrange y = mx + b to Ax + By = C.

Front

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

Back

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

Front

What does it mean for two lines to be parallel?

Back

They have the same slope but different y-intercepts.