NWEA Review

Front

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

Back

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

Front

How do you convert the equation -x + 3y = 12 into y-intercept form?

Back

To convert -x + 3y = 12 into y-intercept form, solve for y: 3y = x + 12, so y = (1/3)x + 4.

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 the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they have the same slope but different y-intercepts.

Front

If the temperature is decreasing at a constant rate, how can you find the temperature at a previous time?

Back

To find the temperature at a previous time, multiply the rate of decrease by the number of hours and subtract that from the current temperature.

Front

What is a proportional relationship?

Back

A proportional relationship is one where two quantities maintain a constant ratio.

Front

How can you determine if a relationship is proportional from a table of values?

Back

To determine if a relationship is proportional, check if the ratio of the two quantities is constant across all pairs.

Front

What is the formula for finding the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for finding the slope (m) is m = (y2 - y1) / (x2 - x1).

Front

What does it mean if two lines intersect at a point?

Back

If two lines intersect at a point, it means they have different slopes and are not parallel.

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, indicating the value of y when x is 0.