A.F.1 Linear Functions Flashcard 2 Review

Front

What is the y-intercept in the equation y = -3x + 7?

Back

(0, 7)

Front

What does the slope (m) represent in the equation y - 3 = 2(x + 4)?

Back

The slope (m) represents the rate of change of y with respect to x, which is 2 in this case.

Front

What is the x-intercept of the line represented by the equation 2x + 4y = 12?

Back

(6, 0)

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 and solve for y.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does the point (0, -1) represent in a graph?

Back

It represents the y-intercept of the line.

Front

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

Back

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

Front

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

Back

It is the point where the line crosses the x-axis, meaning y = 0.

Front

What is the equation of a line with a slope of 2 that passes through the point (-4, 3)?

Back

y - 3 = 2(x + 4).

Front

What does it mean if a line has a negative slope?

Back

As x increases, y decreases.