Answer:
*assuming you know the concept of proportionality*
since L is directly proportional to T, an increase in L will result in an increase in T
so the solution of the first part is increases
in part 2, y is inversely proportional to x
which means that an increase in y will result in a decrease in x and vice-versa
So the answer of the second part is decreases
in part 3, since x is directly proportional to y, an increase in x will result in an increase in y
Its a parallelogram
thats the answer
The general form of the line is:
y = mx + c where:
m is the slope
c is the y-intercept
Now, we are given that the slope = 1/2.
The equation now became:
y = (1/2) x + c
Now, we need to get the y-intercept. We are given that (-4 ,1) belongs to the line. Therefore, this point satisfies the equation of the line. Based on this, we will substitute with this point in the equation above and solve for c as follows:
y = (1/2) x + c
1 = (1/2)(-4) + c
1 = -2 + c
c = 1+2
c = 3
Based on the above, the equation of the line is:
y = (1/2) x + 3
Answer:
(2x+3)(x+1)
Step-by-step explanation: