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Write an equation of the line (0,2) and (3,3) in slope intercept form

Write An Equation Of The Line 02 And 33 In Slope Intercept Form class=

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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!

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