y = mx + b

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope in the equation y = 3x + 5?

Back

The slope (m) is 3.

Front

What is the y-intercept in the equation y = -2x + 4?

Back

The y-intercept (b) is 4.

Front

How do you identify a negative slope in an equation?

Back

A negative slope occurs when the coefficient of x (m) is less than 0.

Front

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

Back

The slope is -3.

Front

What does a positive y-intercept indicate about a line?

Back

It indicates that the line crosses the y-axis above the origin.

Front

If the equation is y = 0.5x - 1, what is the slope?

Back

The slope is 0.5.

Front

Which equation has a negative slope: y = 2x + 1 or y = -4x + 3?

Back

y = -4x + 3 has a negative slope.

Front

What is the y-intercept of the equation y = 5x + 10?

Back

The y-intercept is 10.

Front

How can you tell if a line is increasing or decreasing from its equation?

Back

If the slope (m) is positive, the line is increasing; if negative, the line is decreasing.