Question

Which is the graph of the equation y-1=2/3(x-3)?
PLEASE ANSWER ASAP

Answer 1

Graph #1

Explanation:

Compare your

y - 1 = (2/3)(x - 3) to

y - k = m(x - h). We see that k = 1 and h = 3.

Thus, (1, 3) is a point on the graph. This matches Graph #1.

Note: Graph #1 and Graph #3 appear to be the same. Why?

Answer 2

The graph of the equation is:

Graph 1

Explanation:

The equation is given by:

`y-1=(2)/(3)* (x-3)`

Now, we will see the point through which the graph passes through.

when x=3 we have:

`y-1=(2)/(3)* (3-3)\\\\i.e.\\\\y-1=(2)/(3)* 0\\\\i.e.\\\\y-1=0\\\\i.e.\\\\y=1`

i.e. the graph passes through (3,1)

and also when x= -3 we have:

`y-1=(2)/(3)* (-3-3)\\\\i.e.\\\\y-1=(2)/(3)* -6\\\\i.e.\\\\y-1=2* -2\\\\i.e.\\\\y-1=-4\\\\i.e.\\\\y=-4+1\\\\i.e.\\\\y=-3`

i.e. the graph passes through (-3,-3)

The graph which satisfies these two points is: Graph 1