Answer: y = 1x - 1
Step-by-step explanation: To make the equation using y = mx +b, we need to find the slope of the line and the y intercept (the y value of the graph when the line goes through the y axis).
To find the slope (m), we need to calculate the rise over run or the change in y over the change in x value. Because it is a straight line, the slope is the same throughout the line. Let's choose two points: (2,1) and (-2,-3). Now we use the formula:
Δy/Δx or (y2 - y1)/(x2 - x1)
In this case y2 = 1, x2 = 2, y1 = -3, and x1=-2
Plug in the values in the equation to give...
(1 - (-3)) / (2 - (-2)) = 4/4 = 1
Thus the slope is 1.
This makes sense since the line increases 1 block of height for every 1 block is travels horizontally.
Next, you will need the y-intercept which is -1 because the line intercept the y axis at the value of -1 so the b value is -1.
Finally, plug the values into the y=mx+b to get
y = 1x - 1 or y = x - 1
(x and 1x are the same thing)