Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.

option d.

Step-by-step explanation:

Based on the information given, you can write the following expression:

Where k is the the constant of variation

If y=2 when x=3, then you can substitute these values into the expression and solve for k:

Substitute k into the expression. Then the equation is:

Substitute x=1  into the equation. Then, y is:

Final answer is choice D. ,

Step-by-step explanation:

Given that if y varies directly as x, and y=2 when x=3, then we need to find out y-value when x=1.

We also need to find the constant of variation and the equation.

Since y varies directly as x so we can write equation

y=kx

where k is constant of variation.

Plug given values y=2 and x=3

2=k(3)

Hence constant of variation is

Now plug the value of k into formula y=kx

we get required equation as  

Now plug the value of x=1 into above formula

Hence final answer is choice D. ,

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c