Writing Linear Equations and Applications

Front

What is the slope of a vertical line?

Back

Undefined

Front

What is the slope of a horizontal line?

Back

0

Front

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

Back

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

Front

What does it mean for y to vary directly with x?

Back

It means that y = kx for some constant k.

Front

If y = 5.25x, what is the value of k when x = 16 and y = 84?

Back

k = 5.25

Front

What is the slope of the line that passes through the points (3, 5) and (-2, 2)?

Back

Front

What is the rate of change of a line?

Back

The rate of change is the same as the slope of the line.

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a positive slope indicate about a line?

Back

It indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

It indicates that as x increases, y decreases.