Multiple Representations of Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope from the equation y = mx + b?

Back

The slope is the coefficient of x in the equation, represented by m.

Front

What does a positive slope indicate about a line on a graph?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

How can you determine the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation y = mx + b.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope of the line is 2.

Front

If a line has a slope of 0, what does this mean about the line?

Back

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

Front

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

Back

The y-intercept represents the starting value or initial condition in real-world scenarios, such as the initial height of an object.

Front

How do you write an equation for a situation where an object rises at a constant rate?

Back

The equation can be written in the form H = mx + b, where H is the height, m is the rate of rise, x is time, and b is the initial height.

Front

What is the slope of the equation y = -3x + 7?

Back

The slope of the equation is -3.