Question

When given a line such as y + 2 = 1/2 (x + 20), how do I find the slope intercept form?

Answer 1

Given the equation of the line:

$y+2=\frac{1}{2}(x+20)$

The slope-intercept form is: y = m * x + b

Where (m) is the slope

So, we will solve the given equation for (y)

$\begin{gathered} y+2=\frac{1}{2}\cdot x+\frac{1}{2}\cdot20 \\ y+2=\frac{1}{2}x+10 \\ y=\frac{1}{2}x+10-2 \\ \\ y=\frac{1}{2}x+8 \end{gathered}$

so, the answer will be the slope-intercept form:

$y=\frac{1}{2}x+8$