Question

What is the equation of the line that passes through the point (6,11) and is parallel to the line with the following equation?
y = 2/3x - 5


A. y = 2/3x +7

B. y = -3/2x - 17

C. y = 2/3x - 15

D. y = -3/2x + 5

Answer 1

Answer:

parallel to line y = 2/3x - 5 , i.e the equation assumed should be y = 2/3 + k where k is some constant

now substitute (6,11) in the equation that we have assumed to get the value of k

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

$11 \: - \frac{2}{3} \times 6 = k$

$k = 7$

so the equation satisfying the above question will be

y = 2/3x + 7

I hope this helps please mark me as brainliest