Write the equation of a line

Option D.

Step-by-step explanation:

Hey there!!

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

It is the first equation.

Given, Another equation is:

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,

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

or, 3y - 3 = 2x - 6

Diving-3/3 = -1.

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

Hope it helps.

it would open into a square depending on the type of envelope i’m not sure about the second part

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: