Problem

Question 2 of 24 Step 1 of 2 Consider the following $y$-intercept and slope: $(0,2), m=\frac{2}{5}$ Step 1 of 2 : Find the equation of the line for the $y$-intercept and slope given above. Answer 2 Points

Solution

Step 1 :Consider the given y-intercept and slope: (0,2), m=\(\frac{2}{5}\).

Step 2 :The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Step 3 :Given that the y-intercept is (0,2), we have b = 2.

Step 4 :Also, the slope is given as \(\frac{2}{5}\), so m = \(\frac{2}{5}\).

Step 5 :Substitute these values into the equation to find the equation of the line: m = 0.4, b = 2.

Step 6 :The equation of the line is \(\boxed{y = 0.4x + 2}\).

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Source: https://solvelyapp.com/problems/IGZ4ZAxTBO/

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