Question

The equation (y + 2) = –1/3(x – 4) is in point-slope form. Fill in the blanks below to describe how to graph the equation.Plot the point _______, then move _______ unit(s) down and _______ unit(s) to the right to find the next point on the line. Question 1 options:(2, 4), one, three(–2, 4), one, three(4, –2), one, three(4, –2), three, one

Answer 1

`(4,-2)one,three`

1) In this question, we can see that a point has been given. So let's plot that point that belongs to the function:

We can tell that this point is part of the function by plugging it into the given function:

`\begin{gathered} \mleft(y+2\mright)=-1/3\mleft(x-4\mright) \\ -2+2=-(1)/(3)(4-4) \\ 0=-(1)/(3)(0) \\ 0=0True \end{gathered}`

2) So let's plot the graph:

Now, we can find another point by moving one unit down and three to the right.

3) Thus, the answer is:

`(4,-2)one,three`