Midyear Review 1 (24/25)

Front

What is the equation of the line with a slope of -3 and a y-intercept of -3?

Back

y = -3x - 3

Front

Which equation represents a line with a positive slope that passes through the point (0, 2)?

Back

y = 1/4 x + 2

Front

What does the slope of a line indicate in a real-world context?

Back

The slope represents the rate of change; for example, a slope of 6 means the object moves 6 units in the y-direction for every 1 unit in the x-direction.

Front

In the equation y = mx + b, what does 'm' represent?

Back

Slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

Y-intercept, the point where the line crosses the y-axis.

Front

How can you determine if a table of values represents a linear relationship?

Back

If the differences between consecutive y-values divided by the differences between consecutive x-values are constant, it is linear.

Front

What is the definition of a linear equation?

Back

An equation that graphs to a straight line, typically in the form y = mx + b.

Front

What is a nonlinear equation?

Back

An equation that does not graph to a straight line, such as quadratic or exponential equations.

Front

If a sloth runs 6 feet in 1 minute, what is the slope of the line representing its speed?

Back

The slope is 6 feet per minute.

Front

What does it mean if a graph has a negative slope?

Back

It indicates that as the x-values increase, the y-values decrease.