Slope from equations

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

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

Back

The slope is -3.

Front

How do you determine if a slope is positive, negative, zero, or undefined?

Back

A positive slope rises from left to right, a negative slope falls from left to right, a zero slope is horizontal, and an undefined slope is vertical.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

The equation is y = 2x + 3.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

It indicates that the line is horizontal.

Front

What is the slope of the line represented by the equation y = 5?

Back

The slope is 0, as it is a horizontal line.

Front

What does a negative slope indicate about the relationship between x and y?

Back

It indicates that as x increases, y decreases.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = -1/2x + 6?

Back

The slope is -1/2.