Identifying Slope and Y-intercept

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

In the equation y = 2x + 6, what does the number 2 represent?

Back

The number 2 represents the slope of the line.

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4, which is the point where the line crosses the y-axis.

Front

How do you find the y-intercept from a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What does the coordinate pair (0, b) represent in a linear equation?

Back

It represents the y-intercept of the line.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

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

Back

A slope of 0 indicates that the line is horizontal.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing as it moves from left to right.

Front

What is the significance of the y-intercept in real-world applications?

Back

The y-intercept can represent the starting value in a situation, such as initial cost or starting population.

Front

In the equation y = -x + 5, what is the slope?

Back

The slope is -1.