Linear Relationships Review

Front

What does the y-intercept represent in a linear graph?

Back

The y-intercept represents the value of y when x is 0, indicating the starting point of the relationship on the graph.

Front

Write the equation in slope-intercept form for a camp charging $625 per month for one child and $225 for each additional child.

Back

y = 225x + 625

Front

What is the relationship between c and d if c = 12d?

Back

c is 12 times d, meaning for every unit increase in d, c increases by 12.

Front

How do you write the equation of a line with a slope of 2/3 and a y-intercept of -3?

Back

y = 2/3x - 3

Front

What is the equation of a line that passes through the point (0, 2)?

Back

y = x + 2

Front

Define slope in the context of a linear relationship.

Back

Slope is the measure of the steepness of a line, calculated as the change in y divided by the change in x (rise/run).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

How can you determine the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

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.