Algebra 1 ACP Review2

Front

What is the x-intercept of a function?

Back

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

Front

How do you find the x-intercept of the function f(x)=1/3x - 2?

Back

Set f(x) to 0: 0 = 1/3x - 2. Solve for x to find the x-intercept, which is (6, 0).

Front

What is the slope of a line?

Back

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

Front

How do you determine the slope from a graph?

Back

Choose two points on the line, calculate the rise (change in y) and run (change in x), then divide rise by run.

Front

What is the y-intercept of a function?

Back

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

Front

How do you find the y-intercept of a line from its equation?

Back

Set x to 0 in the equation and solve for y to find the y-intercept.

Front

What does the equation 2x - 5y = 3 represent?

Back

It represents a linear equation in two variables, which can be graphed as a straight line.

Front

How do you find the slope from the equation 2x - 5y = 3?

Back

Rearrange the equation to slope-intercept form (y = mx + b) to find the slope, which is 2/5.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, defined by the equation y = mx + b.

Front

What is the meaning of the slope in a real-world context?

Back

The slope represents the rate of change; for example, in a cost function, it indicates how much cost increases per unit.