4.1-4.3 Flashcard Review Algebra

Front

What is the formula for a linear equation in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the value of y when given x in a linear equation?

Back

Substitute the value of x into the equation and solve for y.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for the input x.

Front

What does it mean if f(1990) = 214?

Back

It means that in the year 1990, the output of the function f was 214, indicating a specific value related to that year.

Front

How do you interpret the value of f(3) from a graph?

Back

f(3) is the y-coordinate of the point on the graph where x = 3.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How can you determine the slope of a line from two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What does it mean to fill in the blank in a function notation, such as f(-2) = 6?

Back

It means that when the input to the function f is -2, the output is 6.

Front

What is the relationship between x and y in a linear equation?

Back

In a linear equation, y is a linear function of x, meaning that y changes at a constant rate as x changes.

Front

How do you graph a linear equation?

Back

To graph a linear equation, identify the y-intercept and use the slope to find another point, then draw a line through these points.