Find the best solutions to your problems with the help of IDNLearn.com's expert users. Our experts provide timely and precise responses to help you understand and solve any issue you face.
Answer:
[tex]y=\frac{2}{5}x-5[/tex]
Step-by-step explanation:
[tex]y=\frac{2}{3}x+4[/tex]
the line parallel to this line is
[tex]y=\frac{2}{3}x+k[/tex] ; k ∈ R
the line passes through the point (3,6)
so,
[tex]6=\frac{2}{3} (3)+k\\6=2 +k\\k=4[/tex]
∴the line that passes through point (2, -1) and is parallel to the line described y = (2/3)x - 6 is
[tex]y=\frac{2}{3}x+4[/tex]