Question

b) Find the values of $t$, for which $(-1, t - 1)$, $(t, t - 3)$ and $(t - 6, 3)$ are collinear. c) State the vertex, focus and directrix of the parabolic equation: $y^2 - 24x + 6y - 15 = 0$.

          b) Find the values of $t$, for which $(-1, t - 1)$, $(t, t - 3)$ and $(t - 6, 3)$ are collinear.
c) State the vertex, focus and directrix of the parabolic equation: $y^2 - 24x + 6y - 15 = 0$.

Added by Juan H.

Geometry A Common Core Curriculum

Ron Larson, Laurie Boswell 1st Edition

Instant Answer

Solved by Expert Erika Bustos

Step 1

To determine if three points are collinear, we can use the slope formula. The slope between two points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1). So, the slope between (~1,t - 1) and (t,t - 3) is [(t - 3) - (t - 1)] / (t - (-1)) = -2 / (t + Show more…

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b) Find the values of' t, for which (~1,t - 1). (t,t - 3) and (t - 6,3) are collinear: State the vertex, focus and directrix of the parabolic equation: y2 _ 24x + 6y _ 15 = 0.