It looks like you want to evaluate
.. 8j -k +14
for (j, k) = (0.25, 1).
Put the numbers where the letters are. If you cannot do the math, let your calculator do it.
.. 8*0.25 -1 +14
.. = 2 -1 +14
.. = 1 +14
.. = 15
The value of the expression is 15 at (j, k) = (0.25, 1).
The constant of proportionality would be "4" ... proportional relationships are in the form of y = kx.. so in your ordered pairs, you can see that to get the 'y' coordinates you would have to multiply the 'x' coordinates by 4.
It is JG! You must rotate the second triangle so both triangles are at the same angle. Then, look at the lines and find the corresponding line segment on the other triangle.
If you are already given the general solution, finding the particular solution means to impose some conditions in order to fix the coefficients of the general solution.
The first thing we need to impose is that the function must output -1 when the input is zero. So, if we plug zero as input we have

But we want
, which implies 
So, we fixed the first coefficient. To fix the second one, we can use the second piece of information (and of course the already-found value for
).
We want the first derivative to output 3 when the input is zero. So, first of all, let's compute the first derivative, and evaluate it in zero:


And as before, since
and we want
, we deduce
.
So, once we fix both coefficients, the general solution becomes
