It is easier to read the slope and y-intercept from a linear equation if you rearrange the equation into slope-intercept form: y = mx + b What is the slope of the line [tex]y = \frac{8 - x}{3} [/tex]

It is easier to read the slope and yintercept from a linear equation if you rearrange the equation into slopeintercept form y mx b What is the slope of the line class=

Respuesta :

The slope of the line is -1/3

Here, we want to get the slope of the line by comparing with the slope-intercept form

To get the slope, we will write the equation in the standard form

This can be obtained by splitting the fraction

We have this as;

[tex]\begin{gathered} y\text{ = }\frac{8-x}{3} \\ \\ y\text{ = }\frac{-x+8}{3} \\ y\text{ = -}\frac{x}{3}+\text{ }\frac{8}{3} \end{gathered}[/tex]

As we can see, the coeffiecient of x is the slope

The coeffiient of x in this case is -1/3 which is the slope