Chapter 4 Review

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Which of the following is in standard form? y=3x-5, 3x+16=5y, 2/3 x + 9/13 y = 21, 5x+7y=-12

Back

5x + 7y = -12

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope of the line is -2.

Front

Are the lines with equations y = 2x + 1 and y = 2x - 3 parallel, perpendicular, or neither?

Back

The lines are parallel because they have the same slope (2).

Front

What is the equation of a line parallel to y = 2x - 3 that passes through the point (1, -1)?

Back

The equation is y = 2x - 5.

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

If a line has a slope of 3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it would be -1/3.

Front

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

Back

The y-intercept is 2.

Front

How do you convert the equation 3x + 4y = 12 into slope-intercept form?

Back

To convert, solve for y: 4y = -3x + 12, so y = -3/4x + 3.