Linear Test Review

Front

What is the general form of a linear equation?

Back

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

Front

How do you determine the slope of a linear function from its equation?

Back

The slope (m) of a linear function can be determined from its equation in the form y = mx + b, where m is the coefficient of x.

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How can you find the slope from two points on a line?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the slope of the line represented by the equation y = -2/3x + 2?

Back

The slope of the line is -2/3.

Front

What is the y-intercept of the line represented by the equation y = -2/3x + 2?

Back

The y-intercept of the line is 2.

Front

If a linear function has a slope of -2, what does this indicate about the line?

Back

A slope of -2 indicates that the line descends from left to right, meaning for every 1 unit increase in x, y decreases by 2 units.

Front

What is the cost per set of books if the total cost for x sets is represented by the equation y = 22x?

Back

The cost per set of books is $22.

Front

How do you solve for x in the equation 3x + 9 = 0?

Back

To solve for x, subtract 9 from both sides to get 3x = -9, then divide by 3 to find x = -3.

Front

What does it mean if a linear function has a positive slope?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward trend in the graph.