Slope of the given line is equal to [tex]\frac{-1}{3}[/tex] .
What is slope?
" Slope is defined as the ratio of increment in y-coordinate to the x-coordinate."
Standard equation of line
[tex]y = mx +c[/tex]
[tex]m=[/tex] Slope
[tex]c=[/tex] y- intercept
According to the question,
Given equation of line,
[tex]x+ 3y =10[/tex]
Convert equation of line to standard equation of line,
[tex]y = \frac{-x}{3} +\frac{10}{3}[/tex]
Compare it with standard equation line to get slope,
Slope [tex]'m' = \frac{-1}{3}[/tex]
Hence, slope of the given line is equal to [tex]\frac{-1}{3}[/tex] .
Learn more about slope here
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