Slope and Y-Intercept

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness of a line, represented as the ratio of the rise (change in y) over the run (change in x).

Front

What is the y-intercept in a linear equation?

Back

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

Front

Identify the slope in the equation y = 3x + 2.

Back

The slope is 3.

Front

Identify the y-intercept in the equation y = -4x + 5.

Back

The y-intercept is 5.

Front

Which of the following equations is proportional? y = 2x + 3 or y = 3/4x?

Back

y = 3/4x is proportional because it passes through the origin.

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 slope of zero indicate about a line?

Back

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

Front

What is the slope of the line represented by the equation y = -1/2x + 4?

Back

The slope is -1/2.

Front

How do you find the y-intercept from the equation y = mx + b?

Back

The y-intercept is the value of b in the equation, where the line crosses the y-axis.

Front

What is the slope of the line represented by the equation y = 5?

Back

The slope is 0, as it is a horizontal line.