Question

The equation of the line joining the origin to the point $(-4,5)$ is:

• A. $5x+4y=0$
• B. $3x+4y=2$
• C. $5x-4y=0$
• D. $4x-5y=0$

Answer 1

The correct option is A

$5x+4y=0$

Determine the equation of the line:

The given points are: $(-4,5)$ and $(0,0)$.

We have to find the equation of the line joining the points:

Slope of the line :

$$\begin{gathered} \frac{y_2-y_1}{x_2-x_1} \\ =\frac{0-5}{0-(-4)} \\ =\frac{-5}{4} \end{gathered}$$

The equation of the line joining the points $(-4,5)$ and $(0,0)$ is:

$$\begin{gathered} y-0=\frac{-5}{4}(x-0) \\ \Rightarrow 4y=-5x \\ \Rightarrow 5x+4y=0 \end{gathered}$$

Hence, the correct answer is Option (A).