graph the line
y-1=3(x-1)
visit here
http://www.wolframalpha.com/input/?i=plot+y-1%3D3%28x-1%29+
you can use the plot command to graph many kinds of functions
To graph the line, we need to rewrite the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Starting with the equation:
y - 1 = 3(x - 1)
First, distribute the 3 on the right side:
y - 1 = 3x - 3
Next, move -1 to the right side by adding 1 to both sides:
y = 3x - 2
Now, we have the equation in slope-intercept form, where the slope (m) is 3, and the y-intercept (b) is -2.
To graph the line, we start by plotting the y-intercept, which is the point (0, -2). This point represents where the line crosses the y-axis.
Next, use the slope (m) to find additional points on the line. The slope tells us that for every 1 unit move to the right on the x-axis, we move 3 units up on the y-axis. And for every 1 unit move to the left on the x-axis, we move 3 units down on the y-axis.
Using this information, plot a couple of more points on the line. For example, if we move 1 unit to the right, we go from (0, -2) to (1, 1). If we move 1 unit to the left, we go from (0, -2) to (-1, -5).
Once you have a few points, draw a straight line connecting them to represent the line.