Identifying the slope and y-intercept

Front

What is the slope of a line?

Back

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

Front

What does a positive slope indicate?

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?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

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, the point where the line crosses the y-axis.

Front

How do you identify the slope from the equation y = 2x + 5?

Back

The slope is 2.

Front

How do you identify the y-intercept from the equation y = -3x + 4?

Back

The y-intercept is 4.

Front

What is the slope of the line represented by the equation y = 0.5x - 1?

Back

The slope is 0.5.

Front

If a line has a slope of 3, what does this mean?

Back

For every 3 units the line rises, it moves 1 unit to the right.

Front

How would you write the equation of a line with a slope of -2 and a y-intercept of 1?

Back

y = -2x + 1.