Question

Write the equation in standard form given the slope. m= -1/2 and y intercept b=3

Answer 1

Given :

The slope of the line is m = -1/2

And y - intercept = b = 3

so, the slope intercept form of the line will be :

`y=-(1)/(2)x+3`

The standard form of the line has a general form like :

`Ax+By=C`

So, we need to convert the slope - intercept form to the standard form

It will be as following :

`y=-(1)/(2)x+3`

Multiply both sides by 2

`\begin{gathered} 2\cdot y=2\cdot(-(1)/(2)x+3)_{} \\ 2y=2\cdot-(1)/(2)x+2\cdot3 \\ 2y=-x+6 \end{gathered}`

Add x to both sides:

`x+2y=6`

So, the standard form of the given line is:

x + 2y = 6