Question

Find the point of intersection of the line, which passes through the points $(5,3)$ and $(8,-1)$, with the y-axis.

• A. $(0,8.33)$
• B. $(0,8.67)$
• C. $(0,9.00)$
• D. $\left(0.933\right)$
• E. $(0,9.67)$

Answer 1

The correct option is E $(0,9.67)$

The slope of line is $\frac{(3+1)}{(5-8)}=-\frac{4}{3}$
Equation of line is $(y-3)=-\frac{4}{3}\times (x-5)$ which implies $3y-9=-4x+20$
$\Rightarrow 4x+3y=29$

At $y$-axis , $x$ will be zero.
So, put $x=0$, we get $y=\frac{29}{3}=9.67$
The point is $(0,9.67)$