Slope from equations

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in y divided by the change in x (rise/run).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward trend 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, resulting in a downward trend from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

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 'b' represent?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

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

Back

The slope is 4.

Front

How would you write the equation of a line with a slope of -1 and a y-intercept of 4?

Back

The equation is y = -1x + 4 or y = -x + 4.

Front

What is the slope of the line represented by the equation y = 1/2x - 3?

Back

The slope is 1/2.