Question

find the value of x so so that the line passing through (10,5) and (x,9) has a slope of -2

-8
8
2
-2

Answer 1

So, all you can do is apply the equation of the slope, defined by:
\[m_{a,b}=\frac{ y_2 - y_1 }{ x_2-x_1 }\]
Which, in more simpler words mean: "the difference of the y coordinates divided by the difference of the x-coordinates".
So, applying it for the points give, calling the coordinates (10,5) as point "a" and the coordinates (x,9) as point "b", then:
\[m_{a,b}=\frac{ 9-5 }{ x-10 }\]
But the desired slope is "-2", so therefore:
\[-2=\frac{ 9-5 }{ x-10 }\]
So all you have to do is solve for "x".

Answer 2

I think it is -2