Answer:
y = [tex]\frac{1}{3}[/tex] x + 5 (see below)
Step-by-step explanation:
First, refer to the slope-intercept formula:
y = mx + b
You need to find the slope and y-intercept.
Using any two points ((0, 5), (3, 6)) from the line, you can find the slope by using the slope formula:
y2 – y1
m = ---------------
x2 – x1
6 – 5
m = ---------------
3 – 0
1
m = -------- = [tex]\frac{1}{3}[/tex]
3
To find the y-intercept, you can refer to the graph or solve for algebraically. Since there is a given coordinate plane, you can refer to the graph. The y-intercept is the point where the line intersects the y-axis in a coordinate plane.
The y-intercept is (0, 5), so b = 5.
Now, plug in your values:
y = [tex]\frac{1}{3}[/tex] x + 5
