Hello!
The slope intercept form is y=mx+b, where m is the slope and b is the y-intercept.
First, let's find the y-intercept. This is where the line hits the y-axis. Therefore, it hits at 4 on the y-axis, so our y-intercept is 4.
To find the slope, let's find 2 points on our line. Let's use (0,4) and (2,5). We divide the difference in the y-values by the difference in the x-values as shown below.
[tex] \frac{5-1}{2-0} =\frac{4}{2} =2 [/tex]
Therefore, our slope is 2.
Now we plug these values into our equation.
y=2x+4
I hope this helps!
