Slope from equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward trend on a graph.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward trend on a graph.

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 as 'b' in the equation y = mx + b.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope is the coefficient of x (m) in the equation y = mx + b.

Front

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

Back

The slope is 3.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

Which equation has a positive slope and a negative y-intercept?

Back

y = 4/3x - 12.

Front

Which equation has a negative slope and a positive y-intercept?

Back

y = -2x + 1/2.

Front

What is the y-intercept of the equation y = 5x - 4?

Back

The y-intercept is -4.