Write the equation of the line that passes through the point (3,5) that is parallel to:

Question

this is the equation y=1/2x-3

Answer 1

Hello, Warth,

A parallel line will have the same slope as the original. The slope intercept stanfdard form of a straight line is y=mx+b, where m is the slope and b is the y intercept.

Since our parallel line must have the same slope as the original (1/2), it will have the form y = (1/2)x+b. The thing that will make it different is b, the y intercept. To find b, just enter the one point we know is on the new line (3,5).

y = (1/2)*x + b

5 = (1/2)*(3)+b

b = 3.5

So the new line becomes y = (1/2)x+ 3.5

Bob