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=(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=(1)/(2)\cdot x+(1)/(2)\cdot20 \\ y+2=(1)/(2)x+10 \\ y=(1)/(2)x+10-2 \\ \\ y=(1)/(2)x+8 \end{gathered}`

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

`y=(1)/(2)x+8`