Answer:
y = 2x - 6
Explanation:
These are actually pretty fun to do once you get the hang of it! Here are the steps!
The formula for slope intercept form is y=mx + b.
m is the slope and b is the y-intercept. Let's start with finding the y-intercept (also known as b).
To find the y-intercept, look at where the line crosses the y-axis. In your equation, the line crosses the y-axis at -6. Plug -6 in for b in the equation.
y = mx + (-6)
Now were going to find the slope. To find the slope, you need to find the rise over run. To start, first find a point on the graph where the line goes through an integer (just pick one of the blue dots). Then, count how many squares you go up or down, and how many you go to the left or right before you hit the next blue dot. Divide the rise over the run, and you have your slope! Here are the steps for the problem:
To get from one dot to another, you rise up 2 units, and you run to the right 1 unit. Plugging those integers into rise/run, you get 2/1 which simplifies to 2. That's your slope.
Now all we need to do is plug the slope into the formula, and you have your equation!
Answer: y = 2x - 6