At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

write an equation of a line parallel to y=1/2x+3 that passes through (2,5)

Sagot :

naǫ
[tex]y=\frac{1}{2}x+3 \parallel y=mx+b[/tex]

Two lines are parallel when their slopes are the same.
[tex]m=\frac{1}{2} \\ y=\frac{1}{2}x+b \\ \\ (2,5) \\ x=2 \\ y=5 \\ \Downarrow \\ 5=\frac{1}{2} \times 2 + b \\ 5=1+b \\ b=4 \\ \\ \boxed{y=\frac{1}{2}x+4} [/tex]

All you have to do is have the line have the same slope so now all you have to do is write y=1/2x + 5 or y=1/2x - 3