# What is the equation below that represents the line that passes through the point (2, 4) and has a a slope of 3?

Dec 13, 2016

$y - 4 = 3 \left(x - 2\right)$ or in standard form $y = 3 x - 2$

#### Explanation:

The point-slope formula gives the equation of a line given the slope and a point. This formula is:

$\textcolor{red}{\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)}$

where $m$ is the slope and #(x_1, y_1) is the point.

Substituting the information provided into the point-slope formula gives:

$y - 4 = 3 \left(x - 2\right)$

Putting into standard form gives:

$y - 4 = 3 x - 6$

$y - 4 + 4 = 3 x - 6 + 4$

$y - 0 = 3 x - 2$

$y = 3 x - 2$