# How do you write the equation of the line with point (2, 5) with a slope of 3?

Jul 17, 2017

Refer to the explanation.

#### Explanation:

The point-slope equation is used when one point and the slope are known. It is:

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

where $\left({x}_{1} , {y}_{1}\right)$ is the known point, in this case, $\left(2 , 5\right)$, and $m$ is the slope, in this case $m = 3$.

Substitute the known values into the equation.

$y - 5 = 3 \left(x - 2\right)$ $\Leftarrow$ point-slope form

This equation can be further simplified.

$y - 5 = 3 x - 6$

Add $5$ to both sides.

$y = 3 x - 6 + 5$

Simplify.

$y = 3 x - 1$ $\Leftarrow$ slope-Intercept form: $y = m x + b$, where

$m$ is the slope, and $b$ is the y-Intercept.

graph{y-5=3(x-2) [-18.79, 8.62, -7.36, 6.35]}