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cupoosta [38]
3 years ago
11

Write the equation of a line

Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

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.

<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>helps</u></em><em><u>.</u></em>

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