# How do you write the equation of the line that passes through (2, 5) with a slope of 3 in standard form?

Jul 27, 2016

y = 3x - 1

#### Explanation:

Since given the slope and a point on the line then use the $\textcolor{b l u e}{\text{point-slope form}}$ to obtain the equation.

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y - {y}_{1} = m \left(x - {x}_{1}\right)} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where m represents the slope and $\left({x}_{1} , {y}_{1}\right) \text{ a point on the line}$

here m = 3 and $\left({x}_{1} , {y}_{1}\right) = \left(2 , 5\right)$

substitute these values into the equation.

$\Rightarrow y - 5 = 3 \left(x - 2\right)$

distribute the bracket and simplify.

$\Rightarrow y - 5 = 3 x - 6 \Rightarrow y = 3 x - 1$