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

Answer

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Answer

The equation of the line is $\boxed{y = 0.4x + 2}$.

Steps

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 $\boxed{y = 0.4x + 2}$.