Is the line through points p(–8, –10) and q(–5, –12) perpendicular to the line through points r(9, –6) and s(17, –5)? explain.

No, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5).

Step-by-step explanation:

Two lines are called perpendicular to each other if the product of their slope is -1.

Since, the slope of a line having end points and is,

Thus, the slope of line Joining points P(–8, –10) and Q(–5, –12),

While, The slope of line Joining points R(9, –6) and S(17, –5),

Since,

Thus, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5).

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1