What is the equation of a line that passes through $(2, - \frac{1}{2})$ $(2,-1/2)$ and has a slope of $3$ $3$ ?

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Answer 1 · 2017-07-23T13:06:06

$y = 3 x - \frac{13}{2}$ $y=3x-13/2$

The easiest way to solve this problem is to use point slope. Point slope takes the form $y - y_{0} = m (x - x_{0})$ $y-y_0=m(x-x_0)$ .

Plugging in our values, we get:

$y - (- \frac{1}{2}) = 3 (x - 2)$ $y-(-1/2)=3(x-2)$

$y = 3 x - 6 - \frac{1}{2}$ $y=3x-6-1/2$

$y = 3 x - \frac{13}{2}$ $y=3x-13/2$

What is the equation of a line that passes through (2,−12)(2,-1/2) and has a slope of 33?