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QuestionMathematics

Write an equation of the line (0,2) and (3,3) in slope intercept form
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Step 1:
: Find the slope of the line

m = \frac{3 - 2}{3 - 0} = \frac{1}{3}
The slope of a line can be found using the formula: Plugging these values into the formula, we get:

Step 2:
: Find the y-intercept of the line

b = 2
To find the y-intercept, we can use any of the given points. The slope-intercept form of a linear equation is:

Step 3:
: Write the equation in slope-intercept form

y = \frac{1}{3}x + 2

Final Answer

The equation of the line is y = \frac{1}{3}x + 2.