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

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

4 votes

Answer:

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?

User Gursel Koca
by
8.0k points
6 votes

Answer:

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

User Matic Oblak
by
8.8k points

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