20241206 - Friday Practice

Front

What is the rate of change of y with respect to x?

Back

The rate of change of y with respect to x is the slope of the line, calculated as the change in y divided by the change in x.

Front

How do you find the slope of a line given two points?

Back

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where 'a' is a constant.

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 a constant.

Front

How do you determine if a relationship is linear from a table of values?

Back

A relationship is linear if the rate of change (slope) between any two points is constant.

Front

What is the formula for the slope-intercept form of a line?

Back

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

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

How do you solve a quadratic equation like 3x^2 - 9x = 54?

Back

To solve, rearrange to standard form, factor or use the quadratic formula to find the values of x.