# Which equation represents a line that passes through (2, -1/2) and has a slope of 3?

y - 2 = 3(x + 1/2)

y - 3 = 2(x + 1/2)

y + 1/2 = 3(x - 2)

y + 1/2 = 2(x - 3)

**Solution:**

Given, point (2, -1/2)

Slope, m = 3

We have to find the equation of the line passing through the point with slope of 3.

The equation of a line passing through the point and slope of m is given by

\((y-y_{1})=m(x-x_{1})\)

Now, \((y-(-1/2))=3(x-2)\\(y+1/2)=3(x-2)\)

Therefore, the equation of the line is \((y+1/2)=3(x-2)\)

## Which equation represents a line that passes through (2, -1/2) and has a slope of 3?

**Summary:**

The equation of a line that passes through (2, -1/2) and has a slope of 3 is \((y+1/2)=3(x-2)\).

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