How do you write an equation of a line with point (1,0), slope 1?

Jan 8, 2017

Use the point-slope formula. See explanation below

Explanation:

We can write this equation using the point-slope formula:

The point-slope formula states: $\left(y - \textcolor{red}{{y}_{1}}\right) = \textcolor{b l u e}{m} \left(x - \textcolor{red}{{x}_{1}}\right)$

Where $\textcolor{b l u e}{m}$ is the slope and $\textcolor{red}{\left(\left({x}_{1} , {y}_{1}\right)\right)}$ is a point the line passes through.

Substituting the slope and point we were given in the example results in:

$\left(y - \textcolor{red}{0}\right) = \textcolor{b l u e}{1} \left(x - \textcolor{red}{1}\right)$

$y = \textcolor{b l u e}{1} \left(x - \textcolor{red}{1}\right)$

Or

$y = x - 1$