Question

QUESTION 1

Answer 1

Option 1

The equation of line in standard form passing through point (0, 5) is 5x – 9y = - 45

Solution:

Given that slope "m" = $\frac{5}{9}$

The lines passes through point (0, 5)

We have to write the equation of line in standard form

The standard form of an equation is Ax + By = C

Now first let use point slope form to find equation of line and then convert to standard form.

$\begin{array}{l}{\text { The point slope form is } y-y_{1}=m\left(x-x_{1}\right)} \\\\ {\text { Here } m=\frac{5}{9} ; x_{1}=0 ; y_{1}=5}\end{array}$

$\rightarrow y-5=\frac{5}{9}(x-0)$

Converting to standard form by rearranging terms,

9(y - 5) = 5(x – 0 )  

9y – 45 = 5x  

5x – 9y = - 45

Hence, the line equation is 5x – 9y = - 45, so option 1 is correct.