Intermediate Algebra Unit 3 Test

Front

What is the x-intercept of a linear equation?

Back

The x-intercept is the point where the graph of the equation crosses the x-axis, meaning the value of y is 0.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the graph of the equation crosses the y-axis, meaning the value of x is 0.

Front

How do you find the x-intercept of the equation y = 2/5x - 2?

Back

Set y to 0 and solve for x: 0 = 2/5x - 2, which gives x = 5.

Front

How do you find the y-intercept of the equation y = 2/5x - 2?

Back

Set x to 0 and solve for y: y = 2/5(0) - 2, which gives y = -2.

Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the formula for the slope (m) between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a linear relationship?

Back

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

Front

What does a negative slope indicate about a linear relationship?

Back

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

Front

In the context of a graph, what does the y-intercept represent in a real-world scenario?

Back

The y-intercept often represents the initial value or starting point of a situation before any changes occur.

Front

How can you interpret the y-intercept in the context of Jimmie's game at the carnival?

Back

The y-intercept represents the number of prizes the carnival has before any games are played.