Which Graph Represents Y 2013 1 = 2(X 2013 2)?

Which graph represents y – 1 = 2(x – 2)?

Answer:

The graph should look like the attached photo from google.

Step-by-step explanation:

In order to graph this linear equation, you should simplify it first.

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

The easiest way to graph it is by simply setting one variable as 0 and then solve the value of the other variable. The solution goes like this

To find the x-intercept, we set y = 0 then solve for x

$y = 2x - 3\\0 = 2x - 3\\2x = 3\\x = 3/2 = 1.5$

Next, To find the y-intercept, we set x = 0 then solve for y

$y = 2x - 3\\y = 2(0) - 3\\y = -3$

Thus, the coordinates that just needed to be plotted are (1.5,0) and (0,-3), just like what the graph shows.

If you want know more about linear equations, you may visit the following links:

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