# How do you find a standard form equation for the line with (6,7); m= undefined?

Jun 9, 2016

Let's start with $y = m x + b$

#### Explanation:

Use what we know:
$7 = 6 \cdot m + b \to$

Now we express $b$ in terms of $m$:
$b = 7 - 6 m \to y = m x + 7 - 6 m \to y = m \left(x - 6\right) + 7$

An other way:
From the "simple" function $y = m x$, that passes $\left(0 , 0\right)$ we have translated $6$ to the right, which makes for the $- 6$, and $7$ upward, which makes for the $+ 7$

Jun 9, 2016

x=6.

#### Explanation:

We first observe that the slope of the required line = m is undefined. This means that the reqd. line must be vertical line & as, by data, it passes through the point (6,7), its eqn. must be x=6.