Slope - Equations, Graphs, Tables and Two points

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line goes uphill from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line goes downhill from left to right.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal and does not rise or fall.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 2/3x - 3?

Back

The slope is 2/3.

Front

If a line passes through the points (1, 2) and (4, 5), what is the slope?

Back

Slope = (5 - 2) / (4 - 1) = 3/3 = 1.

Front

What is the y-intercept in the equation y = 2/3x - 3?

Back

The y-intercept is -3.

Front

How would you write the equation of a line with a slope of -5/3 and a y-intercept of 2?

Back

y = -5/3x + 2.