Question

Write the equation of the line that passes through (3,6) and is parallel to y = 2/3x+2.

Answer 1

Answer:

$y=\frac{2}{5}x-5$

Step-by-step explanation:

$y=\frac{2}{3}x+4$

the line parallel  to this line is

$y=\frac{2}{3}x+k$ ; k ∈ R

the line passes through the point (3,6)

so,

$6=\frac{2}{3} (3)+k\\6=2 +k\\k=4$

∴the line that passes through point (2, -1) and is parallel to the line described y = (2/3)x - 6 is

$y=\frac{2}{3}x+4$