Slope and Slope Intercept

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 the slope represent in the equation y=mx+b?

Back

In the equation y=mx+b, 'm' represents the slope of the line.

Front

What is the slope of a line that rises from left to right?

Back

The slope of a line that rises from left to right is positive.

Front

What is the slope of a line that falls from left to right?

Back

The slope of a line that falls from left to right is negative.

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

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y=4x+3?

Back

The slope of the line is 4.

Front

What does the 'b' represent in the slope-intercept form y=mx+b?

Back

In the equation y=mx+b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is the y-intercept of the equation y=-2x+5?

Back

The y-intercept of the equation y=-2x+5 is 5.