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 :

$y=-\frac{1}{2}x+3$

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 :

$y=-\frac{1}{2}x+3$

Multiply both sides by 2

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

Add x to both sides:

$x+2y=6$

So, the standard form of the given line is:

x + 2y = 6