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 rise over run, or the change in y divided by the change in x.

Front

How do you identify the slope from 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 the line with the equation y = 4x + 12?

Back

The slope is 4.

Front

What is the slope in the equation y = 2x + 3?

Back

The slope is 2.

Front

How would you write the equation with a slope of 2/3 and a y-intercept of -3?

Back

The equation is y = 2/3x - 3.

Front

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

Back

The y-intercept is -4.

Front

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

Back

y = x + 4.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises 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, meaning the line falls from left to right.

Front

How can you determine the slope from two points (x1, y1) and (x2, y2)?

Back

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