Question

Find The slope of the line described by x+2y=8

Answer 1

Answer:

$Slope = m = \frac{-1}{2}$

Step-by-step explanation:

The equation of a line in  slope-intercept form  is.

$y = mx + b$   ----->(eq 1)  

∴ m is slope

$x+2y=8$

subtract x from both sides.

$x - x +2y= - x + 8$

$2y= - x + 8$

divide - 2 on both sides

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

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

$y = \frac{ - 1}{2}x + 4$ ----->(eq 2)  

By comparing (eq 1) and (eq 2)  

$m = \frac{-1}{2}$

$Slope = m = \frac{-1}{2}$