Question

Find the equation of the line passing through the point $(2.75,0.975)$ and having an intercept of $2$ on the $x$-axis.

• A. $y+5.9=2.5x$
• B. $4y+12x=29.1$
• C. $6y+27.15=12x$
• D. $10y-13x=-26$

Answer 1

The correct option is D $10y-13x=-26$

Given the line passes though the point $(2.750,0.975)$ and having intercept of $2$ on $x$-axis.

Then the line passes through point $(2.75,0.975)$ and $(2,0)$

Then slope of line $m=$ $\frac{0-0.975}{2-2.750}=\frac{-0.975}{-0.750}=\frac{13}{10}$

So line passes through point $(2,0)$ and slope $\frac{13}{10}$ is

$y-0=\frac{13}{10}(x-2)$

$\Rightarrow y=\frac{13}{10}-\frac{26}{10}$

$\Rightarrow 10y=13x-26$

$\Rightarrow 10y-13x=-26$