Verified answer

You have to use the formula for the slope only.

m = ( 7 - 9 ) / ( 3t - 5t ) = -1/2

2 / 2t = - 1/2

1 / t = 1 / -2 ........... Therefore t = -2 ................................. THE END

You have not mentioned the actual question.

Probably, you are required to find the value of the unknown quantity t.

This is as follows :

P(5t, 9) and Q(3t, 7) are the two points on a line, whose slope is m = - 1/2

m = (9 - 7)/(5t - 3t) = 2/(2t) = 1/t = - 1/2

=> t = - 2 ------ Answer

You have two points, so you can plug in (3t, 7) for the other x and y. Hence, it shouldve been:

1.) 7-9= -1/2(3t-5t)

2.) -2= -1/2(-2t)

3.) -2=t

I am not sure if you need to solve for the two points or for the equation of the line, but the points are (-6, 7) and (-10, 9). (I plugged in -2 back into t in the two original points).

And the equation of the line is y = (-1/2)x + 4 ( i plugged in -2 for t in the equation y - 9 = -1/2 (x-5t) and simplified).

Im doing Point Slope Formula right now in math, and in the problem is to find the

unknown constant (5t, 9), (3t, 7) m= -1/2

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I'm doing the calculation from what you were given.

m = (y1-y2)/(x1-x2) = (9-7)/(5t - 3t) = 2/2t;

if 2/2t = 1/2, crossmultiply

2t = 4; t = 2.