Question

Write the equation of a line

Answer 1

Answer:

Answer: Option D.

Step-by-step explanation:

Hey there!!

Here, To find the equation of a st.line passing through point (3,1) is :

$(y - 1) = m1(x - 3)$

It is the first equation.

Given, Another equation is:

$y = \frac{2}{3} x + 1$

It is 2nd equation.

Comparing the 2nd equation with y = mx+c we get,

Slope (m2) = 2/3.

As per the condition of parallel lines,

m1 = m2 = 2/3.

Putting, the value of m1 in equation 1st we get,

$(y - 1) = \frac{2}{3} (x - 3)$

or, 3 (y-1) = 2(x-3)

or, 3y - 3 = 2x - 6

$y = \frac{2x - 6 + 3}{3}$

$y = \frac{2}{3} x - 1$

Diving-3/3 = -1.

Therefore, y = 2/3 x - 1 is the required equation.

Hope it helps.