Question

. Use the grid on the right.

a. Plot points ????(0, 0), P(3, −1), and ????(2,3) on the
coordinate plane.
b. Determine whether OP and OQ are perpendicular.
Support your findings.

Answer 1

Answer with Step-by-step explanation:

We are given that

O(0,0),P(3,-1) and Q(2,3) on the coordinate plane.

Mark point O(0,0), P(3,-1) and Q(2,3) on the graph and then join OP,PQ and OQ.

b.We have to find OP and OQ are perpendicular or not.

Slope-formula:
`m=(y_2-y_1)/(x_2-x_1)`

By using the formula

Slope of OP=
`(-1-0)/(3-0)=-(1)/(3)`

Slope of OQ=
`(3-0)/(2-0)=(3)/(2)`

When two lines are perpendicular then

Slope of one line=
`-(1)/(slope\;of\;other\;line)`

Slope of line OP
`\\eq -(1)/(slope\;of\;line\;OQ)`

Hence, line OP and OQ are not perpendicular.