Question

If the graphs of two linear functions are perpendicular, describe the relationship between the slopes and the y-intercepts.

slopes:
a.The slopes are equal.
b. The slopes are negative reciprocals of one another.
c.The slopes are reciprocals of one another.
d.The slopes are inverses of one another.
e.There is no relationship.

y-intercepts:
a.The y-intercepts are equal.
b.The y-intercepts are not equal.
c.There is no relationship.

Answer 1

Part 1) The slopes are negative reciprocals of one another.

Part 2) There is no relationship.

Explanation:

Part 1)

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

`m_1*m_2=-1`

Part 2)

The y-intercept is the value of y when the value of x is equal to zero

Two linear functions that are perpendicular, could have the same y-intercept (the y-intercept would be the point of intersection between both lines)

so

There is no relationship