Y=mx+b

Front

What does the variable 'm' represent in the equation y=mx+b?

Back

The variable 'm' represents the slope of the line.

Front

What does the variable 'b' represent in the equation y=mx+b?

Back

The variable 'b' represents the y-intercept of the line.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b.

Front

How can you determine if a slope is positive or negative from the equation?

Back

If 'm' is positive, the slope is positive (line rises); if 'm' is negative, the slope is negative (line falls).

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

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

How can you graph the equation y = -x + 4?

Back

To graph, start at the y-intercept (0, 4) and use the slope (-1) to find another point, then draw the line.