Answer:
y = 37/5x + 9
Explanation:
The points are not plotted on a single straight line, so I will find the general slope using the first and last point on the graph.
(5, 46) & (10, 83)
slope-intercept form: (y₂ - y₁) / (x₂ - x₁)
(83 - 46) / (10 - 5)
Simplify.
(37)/(5)
Your slope is 37/5.
y = 37/5x + b
To find b, plug in a point to x and y.
46 = 37/5(5) + b
46 = 37 + b
b = 9
Your equation is: y = 37/5x + 9
Check by plugging in the other point.
83 = 37/5(10) + 9
83 = 74 + 9
83 = 83
Your equation is correct.
Hope this helps!