Question

Which steps should be used to graph the equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)?

Answer 1

Answer:

The steps are are explained below.

Step-by-step explanation:

Given:

The equation of the line is given as:

$y-4=\frac{1}{3}(x+2)$

The above equation is in point-slope form $y-y_1=m(x-x_1)$.

Therefore, on comparing, we get

$x_1=-2,y_1=4,m=\frac{1}{3}$

So, the slope is one-third and point is (-2,4).

Now, following are steps for plotting the graph:

i. Plot the point (-2,4).

ii. Since the slope is one-third, it means we need to move 3 units to right from the point (-2,4) and then 1 unit up. So, after translating 3 units right and 1 unit up we mark the second point which is $(-2+3,4+1)\rightarrow )(1,5)$.

iii. Draw a line passing through the points (-2,4) and (1,5) to get the graph of the line

Thus, the graph is drawn below.

Answer 2

Answer:

I believe it's C. Though plz get another source, I'm not too sure.

Step-by-step explanation: