Through: (-4,2),parallel to y=1/4x-4

The equation of a line parallel to the given line and passing through the given point can be found by using the point-slope form of a linear function.
y - y₁ = m(x - x₁)  where 'm' is the slope and (x₁ , y₁) is the given point.

Now first, we need to realize that parallel lines have the same slope.  As a result, the line we are looking for will have a slope equal to our given line's slope, or 1/4

We just substitute into the equation as follows:


Now you can solve for y to put this into slope-intercept form if you like:

Hello!

the answer is:

the correct option:

b.

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!