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A line passes through (0,2) and has a slope of 1/3 what is the equation of the line in slope intercept form

Y = 1/3x + 2
Y = 1/3x - 2
Y = -1/3x+2

User Navyseal
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Answer:

The equation of the line in slope-intercept form is: y = 1/3x + 2

To derive this equation, we first need to identify the slope of the line, which is given as 1/3. We then use the point (0,2) to find the y-intercept, which is 2. Finally, we substitute these values into the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. In this case, we have m = 1/3 and b = 2, so the equation of the line is y = 1/3x + 2.

Alternatively, we could use the point-slope form of a line, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. In this case, we have (x1, y1) = (0,2) and m = 1/3, so the equation of the line is y - 2 = 1/3(x - 0), which simplifies to y = 1/3x + 2. This is the same result as before, but using a different method to derive the equation.

Explanation:

User SirDarius
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