Question

. Use the grid on the right.

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:$m=\frac{y_2-y_1}{x_2-x_1}$

By using the formula

Slope of OP=$\frac{-1-0}{3-0}=-\frac{1}{3}$

Slope of OQ=$\frac{3-0}{2-0}=\frac{3}{2}$

When two lines are perpendicular then

Slope of one line=$-\frac{1}{slope\;of\;other\;line}$

Slope of line  OP$\neq -\frac{1}{slope\;of\;line\;OQ}$

Hence, line OP and OQ are not perpendicular.