Block 4 Slope-Intercept

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

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

Back

The y-intercept is 5, which is the point where the line crosses the y-axis.

Front

How does changing the slope affect the graph of a line?

Back

Increasing the slope makes the line steeper, while decreasing the slope makes it flatter.

Front

What does a negative slope indicate about a line?

Back

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

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = k, where k is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = k, where k is a constant.

Front

How do you identify the slope from the equation y = 2x + 3?

Back

The slope is 2, which is the coefficient of x.

Front

What transformation occurs when the equation is y = 3x + 5 compared to y = x?

Back

The line is steeper and shifted up 5 units.

Front

What does the term 'parent function' refer to?

Back

The parent function is the simplest form of a function in a family of functions.