WK10 Parallel/ Perpendicular Lines and Writing Linear Equations

Front

What is the slope of a line parallel to the line represented by the equation y = 3x + 2?

Back

The slope of a line parallel to y = 3x + 2 is 3.

Front

What is the slope of a line perpendicular to the line represented by the equation y = -rac{1}{4}x + 5?

Back

The slope of a line perpendicular to y = -rac{1}{4}x + 5 is 4.

Front

Write the equation of a line that is parallel to y = 5x - 1 and passes through the point (1, 2).

Back

y = 5x - 3.

Front

What is the definition of parallel lines in the context of linear equations?

Back

Parallel lines are lines in a plane that never meet and have the same slope.

Front

What is the definition of perpendicular lines in the context of linear equations?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees) and have slopes that are negative reciprocals of each other.

Front

If a line has a slope of 2, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to a line with a slope of 2 is -rac{1}{2}.

Front

Write the equation of a line with a slope of -3 that passes through the point (0, 4).

Back

y = -3x + 4.

Front

What are the x- and y-intercepts of the line represented by the equation y = 2x + 6?

Back

The x-intercept is (-3, 0) and the y-intercept is (0, 6).

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = -4x + 7?

Back

The slope of the line is -4.