Identify Slope and Y-Intercept from y=mx+b

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 the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How do you identify the slope from the equation y = 7x + 4?

Back

The slope is the coefficient of x, which is 7.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where b is the y-intercept.

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

How do you write the equation of a line given a slope of -6 and a y-intercept of 5?

Back

The equation is y = -6x + 5.

Front

What is the y-intercept of the equation y = 9x - 2?

Back

The y-intercept is -2.

Front

How can you determine the slope from a graph of a line?

Back

The slope can be determined by calculating the rise over run between two points on the line.

Front

What is the general form of a linear equation?

Back

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

Front

If the slope of a line is positive, what does that indicate about the direction of the line?

Back

A positive slope indicates that the line rises from left to right.