8.EE.6 Checkpoint 2.4

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in 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 of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

How can you determine if a set of values represents a function?

Back

A set of values represents a function if no two ordered pairs have the same first element (input).

Front

What is the output of the function rule x - 5 when the input is 14?

Back

The output is 9.

Front

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

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line that passes through the point (0, 5) with a slope of 1?

Back

The equation is y = x + 5.