Answer:
[tex]y=\frac{1}{4} x-2[/tex]
Step-by-step explanation:
Looking at the graph, we can find the slope and y-intercept.
Firstly note that y = mx + b where m is the slope and b is the y-int.
Let's find the slope, m. To do this, we use the rise/run method which is
[tex]\frac{y_{end}-y_{start} }{x_{end}-x_{start}}[/tex]
Let's take a look at 2 points shown on the graph:
(8,0) and (16,2)
Since (16,2) comes after (8,0), let's use the rise/run method with (16,2) being our ending x and y point and (8,0) being our starting x and y point
[tex]\frac{2-0}{16-8} = \frac{2}{8} =\frac{1}{4}[/tex]
Our slope = 1/4
Finally, we can see that the line intersects the y-axis at the point (0,-2)
Therefore, our b is -2
We have the equation: [tex]y=\frac{1}{4} x-2[/tex]
