Answer:
y = x - 2
Step-by-step explanation:
Slope intercept form is y = m x + b (m stands for slope, and b stands for the y-intercept)
To solve a graph for its slope, you need to count the rise over run. (How much it goes up over how much it goes to the side, or y over x). To do this for a graph you can find two exact points on the line and figure out how many units up, and to the side it had to go to get to the other point. Your graph has a slope of 1 because if you choose two exact points on the graph they either are one unit right and one unit up of one another, or the fraction it makes simplifies down to 1. It is also a positive slope because the values are getting larger and it is angled upward.
To solve a graph for its y intercept you need to find where x would equal zero. on your graph that would be a point where it is on the y axis line. In this case, the y intercept is -2. That is where the line connects with the y- intercept and when x equals zero. So the correct equation for this graph is: y = 1 x - 2. (and 1 x is the same as just x because 1 times x doesn't change x's value) so it is really y = x - 2
