Solveeit Logo

Question

Mathematics Question on Slope of a line

The slope of the straight linex10\frac{ x}{10 }-y4\frac{y }{4 } = 3 is

A

52\frac{5}{2 }

B

52\frac{ -5}{ 2}

C

25\frac{ 2}{ 5}

D

25\frac{ -2}{ 5}

Answer

25\frac{ 2}{ 5}

Explanation

Solution

We have, x10y4=3\frac{x}{10}-\frac{y}{4}=3 2x5y=60\Rightarrow 2 x-5 y=60 5y=2x60\Rightarrow 5 y=2 x-60 y=25x12.......(i)\Rightarrow y=\frac{2}{5} x-12 \,.......(i) Compare E (i) with y=mx+cy=m x+c, we get m=25m=\frac{2}{5}. Thus, slope of straight line =25=\frac{2}{5}.