A.F.1 Linear Functions Flashcard 1 Review (Nicholas)

Front

What is the y-intercept of the line y = -2x + 5?

Back

The y-intercept is the value of y when x = 0. For the line y = -2x + 5, the y-intercept is 5.

Front

What is the slope of the line y = -2x + 5?

Back

The slope is the coefficient of x in the equation. For y = -2x + 5, the slope is -2.

Front

What is the y-intercept of the line graphed below? (Assume the graph shows a line crossing the y-axis at 4)

Back

The y-intercept is 4.

Front

Find the slope of the line that rises 1 unit for every 2 units it runs to the right.

Back

Front

What is the x-intercept of the line y = -2x + 5?

Back

The x-intercept is the value of x when y = 0. Setting y to 0 gives the equation 0 = -2x + 5, which solves to x = 2.5.

Front

Define slope in the context of a linear function.

Back

Slope is a measure of the steepness of a line, calculated as the change in y divided by the change in x (rise over run).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is the standard form of a linear equation?

Back