How do you write the equation in slope intercept form of the line that has a slope of 2 and contains the point (1,1)?

Aug 24, 2016

$y = 2 x - 1$

Explanation:

The equation of a line in $\textcolor{b l u e}{\text{slope-intercept form}}$ is

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where m represents the slope and b, the y-intercept.

here we have m = 2 and so the partial equation is

$y = 2 x + b$

To find the value of b, substitute the coordinates of the point (1 ,1) into the partial equation That is x = 1 and y = 1.

$\Rightarrow \left(2 \times 1\right) + b = 1 \Rightarrow 2 + b = 1 \Rightarrow b = - 1$

$\Rightarrow y = 2 x - 1 \text{ is equation in slope-intercept form}$