Find the value of k such that the points P(k, 1), Q(2, –5) and R(k - 2, –3) are collinear.
Straight Line Eq
2 Likes

Question

Find the value of k such that the points P(k, 1), Q(2, –5) and R(k - 2, –3) are collinear.

KnowledgeBoat · Accepted Answer

Given, Points P, Q and R are collinear. Thus, the slope of PQ equal to the slope of QR. By formula, Slope (m) = Substituting values we get, Slope of PQ = Slope of QR ⇒ -6(k - 4) = 2(2 - k) ⇒ -6k + 24 = 4 - 2k ⇒ 24 - 4 = -2k + 6k ⇒ 20 = 4k ⇒ k = ⇒ k = 5 Hence, k = 5.

Mathematics

Find the value of k such that the points P(k, 1), Q(2, –5) and R(k - 2, –3) are collinear.

Straight Line Eq

Related Questions

Without using the distance formula, prove that the points A(1, 4), B(3, –2) and C(–3, 16) are collinear.

Find the equation of a line parallel to the x-axis and passing through the point (–3, 2).

Find the equation of a line parallel to the y-axis and passing through the point (–7, 5).