Benchmark 2 Review

Front

What is the definition of slope in a linear function?

Back

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

Front

What does the y-intercept represent 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.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

If triangle MLT is dilated by a scale factor of 3, what happens to the lengths of its sides?

Back

The lengths of the sides of triangle MLT will be multiplied by 3.

Front

What is the scale factor if the coordinates of a triangle change from (x, y) to (kx, ky)?

Back

The scale factor is k.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, typically in the form y = mx + b.

Front

How can you determine if a function is decreasing on a given interval?

Back

A function is decreasing on an interval if the y-values decrease as the x-values increase.

Front

What is the equation of a line with a slope of 2 and a y-intercept of 1?

Back

The equation is y = 2x + 1.

Front

What does the graph of y = 2x look like?

Back

It is a straight line that passes through the origin with a slope of 2, rising steeply.