Topic 2 Review

Front

What is the y-intercept of the equation y = 2x + 3?

Back

The y-intercept is 3.

Front

Write an inequality to represent the number of cans Xander must still collect if he needs at least 80 cans and has already collected 68 cans.

Back

c >= 80 - 68 or c >= 12.

Front

If the water level of a river is 3 feet deep and drops by 2.5 feet, then rises by 7 feet, what is the final water level?

Back

The final water level is 7.5 feet.

Front

Back

x = 27.

Front

What is the slope of the line represented by the equation y = 4x - 2?

Back

The slope is 4.

Front

Define the term 'slope' in the context of a linear equation.

Back

The slope is a measure of the steepness of a line, calculated as the change in y over the change in x.

Front

What does it mean for a line to have a positive slope?

Back

A positive slope means that as x increases, y also increases.

Front

What does it mean for a line to have a negative slope?

Back

A negative slope means that as x increases, y decreases.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How do you find the y-intercept from a linear equation in slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented as b in the equation y = mx + b.