Answer:
See below and attached graph
Explanation:
If you are using a graphing calculator it is a breeze. You write down the equation as it is and it should plot it, depending on what calculator you use.
If you are doing this manually here are the steps
We are given y - 2 = 3(x-2)
Expand the brackets on the right hand side
3(x - 2) = 3x - 6
So the original equation becomes
y - 2 = 3x - 6
Adding 2 to both sides
y - 2 + 2 = 3x -6 + 2
y = 3x - 4 [1]
This form of equation is known as a slope-intercept form of the line
We need two points to plot a line. This can be done by choosing a value for x, finding the y value which gives one point. Then repeat for another value of x to get y for that value giving another point. Draw a straight line through both points
Point 1
Let's choose x = 2 and plug this into the equation [1]
y = 3·2 - 4 = 6- 4 = 2.
So (2, 2) is one point on the graph
Point 2
Choose another value for x, say x = 4
y = 3·4 - 4
y = 12-4
y = 8
So (4, 8) is another point
Draw a line through these two points