Understanding Slope and Y-Intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as the value of y when x = 0.

Front

Write the equation of a line given the slope and y-intercept: slope = 2, y-intercept = 3.

Back

y = 2x + 3

Front

Identify the slope from the equation y = mx + b: y = 4x - 1.

Back

The slope (m) is 4.

Front

Identify the y-intercept from the equation y = -3x + 2.

Back

The y-intercept (b) is 2.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where x remains constant and y can change.

Front

Given the points (1, 2) and (3, 6), calculate the slope.

Back

Slope = (6 - 2) / (3 - 1) = 4 / 2 = 2.