Question

using the concept of slope to find "t" such that the three points are collinear;
(1,-4), (t,3), (5,10)

Answer 1

make the slope from the outer points match with what the middle needs to be

Answer 2

in other words, slope the outers and use the middle to adjust after you determine a suitable equation for the line

Answer 3

i found the slop of the outers its 7/2. however my dilema is i dont know which equation to use to find "t"

Answer 4

slope*

Answer 5

7/2 is good; now we would devise an equation that fits all the point onto it.

since we know the slope, and have alot of given points; lets use one of the points to form the POINT SLOPE form.

Answer 6

y - Py = m( x - Px); ill use (1,-4)

y - -4 = 7/2(x - 1)

2y + 8 = 7 (x - 1)

(2y + 8)/7 = x-1

(2y + 8)/7 +1 = x = t

now when y=3 we can determine a value for t

(2(3) + 8)/7 +1 = t

(6+8)/7 +1 = t

14/7 +1 = t = 3