Answer:
the equation for this is y = 1x + 1
i tried to simplify it as much as i could in the steps down below (its a little wordy, but figuring out equations like this is really quick and simple once you get a hang of the process!)
Explanation:
slope intercept form is y = mx + b, we need to look for the numbers to replace m and b
first figure out where the line is touching the y-axis, this is your b
keep in mind that the y-axis is the vertical line and the x-axis is the horizontal line
in this graph your y-intercept is 1, because that's the point where the line touches the y-axis
next, figure out your slope, this is m
what you need to do is pick out any two points, and look at how much you have to go up, and how much you have to go across
for example, in this graph you can start at your y-intercept because this is one of your points
another point that's right next to it is located at (1, 2) remember that ordered pairs are written like (x, y)
so, we start at your y-intercept, which is 1, and as you can see we need to go up once and to the right once. this gives you ¹⁄₁
the top number (numerator) in your fraction should be how much you went up, and how much you went across should be your bottom number (denominator)
fractions are basically division problems, for this you can divide 1(numerator) by 1(denominator), and get 1
whatever answer you get from your fraction, that'll be your m
now you can make your equation! just take the numbers you got, and insert them into y = mx + b
this is how you get y = 1x + 1
remember! if you see a whole number as your m in any equations like this, just imagine theres a one under it. you'd go up as many times as your numerator and just go across once
i hope this helps!! :)