Chapter 4 Equations of Linear Functions Review

Front

What is the equation of a line perpendicular to y = 2x + 3 through the point (-2, 4)?

Back

y = -1/2x + 3

Front

Convert the equation 2x + 4y = 12 into slope-intercept form.

Back

y = -1/2x + 3

Front

What is the inverse function f^-1(x) if f(x) = 5x + 3?

Back

f^-1(x) = 5x - 3

Front

Write the equation in point-slope form of the line that passes through (-2, -1) with a slope of -3.

Back

y + 1 = -3(x + 2)

Front

What is the slope of the line represented by the equation y = 2x - 1?

Back

2

Front

What does slope represent in a linear function?

Back

The slope represents the rate of change of the line, indicating how steep it is.

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

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

Back

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

Front

What is the y-intercept of the line y = 3x + 4?

Back

The y-intercept is 4.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.