Question

QUESTION 1

Write an equation for the line described. Give your answer in standard form.
through (0,5), m=5/9
5x - 9y = 45
5x + 9y = -45
O9x - 5y = -45
5x - 9y = 45
QUESTION 2

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" =
`(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=(5)/(9) ; x_(1)=0 ; y_(1)=5}\end{array}`

`\rightarrow y-5=(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.