What is the equation of a line (in slope-intercept form) that has a slope of 3 and passes through (2,5)?

Dec 9, 2016

$y = 3 x - 1$

Explanation:

The equation of a line in $\textcolor{b l u e}{\text{point-slope form}}$ is.

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y - {y}_{1} = m \left(x - {x}_{1}\right)} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where m represents the slope and $\left({x}_{1} , {y}_{1}\right) \text{ a point on the line}$

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

substituting into the equation gives.

$y - 5 = 3 \left(x - 2\right) \Rightarrow y - 5 = 3 x - 6$

$\Rightarrow y = 3 x - 1 \text{ is equation in" color(blue)" slope-intercept form}$