Question

Lines c and d are perpendicular. The slope of line c is −1/3. What is the slope of line d?

Answer 1

Answer:

1/3

Step-by-step explanation:

When two lines are perpendicular, it means the lines intersect at a right angle and have opposite reciprocal slopes.The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees.

To figure out d we need to use the formula:

- 1 / m

Plug in:

- 1 / - 1/3

Solve:

1/3

Answer 2

$~~~~~~m_c \times m_d = -1\\\\\implies -\dfrac 13 \times m_d=-1\\\\\implies m_d = 3\\\\\text{The slope of line d is 3.}$