What is the equation of the line m=6 that goes through the point (1,4)?

Apr 2, 2017

$y = 6 x - 2$

Explanation:

If you are using the usual form for a straight line, $\textcolor{red}{y} = \textcolor{p u r p \le}{m} \textcolor{b l u e}{x} + b$, then $\textcolor{p u r p \le}{m}$ is the slope of that line.

And we have a point, $\left(1 , 4\right)$, that we can plug in.

So we can say that:

$\textcolor{red}{4} = 6 \left(\textcolor{b l u e}{1}\right) + b \implies b = - 2$

Thusly:

$y = 6 x - 2$

So now, the important bit , we check that conclusion.

We take the point and observe that if $x = 1$, then:

$y = 6 x - 2 = 6 \left(1\right) - 2 = 4$.