Answer:
y = 1/3x + 2
Step-by-step explanation:
slope formula: (y₂ - y₁) / (x₂ - x₁)
(0, 2) & (3, 3)
Plug the values in.
(3 - 2) / (3 - 0)
Simplify the parentheses.
1/3
This fraction is fully simplified.
Your basic slope intercept form equation is: y = mx + b.
m is the slope, which is 1/3.
y = 1/3x + b
b is the y-intercept, which is y-value when x = 0.
From one of the points given, we can see that the y-intercept is 2.
Therefore, your equation is: y = 1/3x + 2
Check your answer with the other point.
3 = 1/3(3) + 2
3 = 1 + 2
3 = 3
Your equation is correct!
Hope this helps!
