Slope and Y-Intercept

Front

What is the definition of slope?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run between two points on the line.

Front

What does a positive slope indicate about a line?

Back

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

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is zero.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Front

How do you find the y-intercept from an equation in slope-intercept form?

Back

The y-intercept can be found by identifying the value of 'b' in the equation y = mx + b.

Front

What is the y-intercept of the line represented by the equation y = 5x - 3?

Back

The y-intercept is -3.

Front

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

Back

The slope is 2.