Answer: [tex]y = \frac{1}{2}x+3[/tex]
This is the same as writing y = (1/2)x + 3
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Explanation:
Two points on the blue line are (0,3) and (2,4)
To go from the left point to the right, we go up 1 and over to the right 2.
Slope = rise/run = 1/2
Or we can use the slope formula to get the same value
m = (y2-y1)/(x2-x1)
m = (4-3)/(2-0)
m = 1/2
The y intercept is b = 3 because this is the location on the vertical y axis where the blue line crosses. This is the location (0,3).
With m = 1/2 and b = 3, we go from y = mx+b to y = (1/2)x + 3
On a piece of paper, that would look like the equation [tex]y = \frac{1}{2}x + 3[/tex]
