To graph the equation y-4=3(x-2), we can start by rearranging the equation and solving for y:
y - 4 = 3(x - 2)
y - 4 = 3x - 6
y = 3x - 6 + 4
y = 3x - 2
Now, we can plot the graph:
First, locate the y-intercept which is -2. This means that the graph passes through the point (0, -2).
Second, find another point on the graph by choosing any x value and substituting it into the equation. Let's choose x = 1.
y = 3(1) - 2
y = 3 - 2
y = 1
This gives us the point (1, 1).
Now, we can plot these two points and draw a straight line through them.