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Since we know the lines are parallel they must have the same slope. That is the first place to start. We know that the slope intercept form of a line is y=mx+b where m is the slope and b is the y itnercept

Since we know the slope or m value we can start by writing this as

y=-5/2x+b

now we need to find the y intercept or b value.

The easiest way to do this is to graph the line by plotting the point and using the slope to find other points.  Here is a graph of the two lines:

graph parallel lines

 

The y intercept of the unknown line, or the point at which it crosses the y axis is 23. The equation then for the unknown line is

y=-5/2x+23

by Level 4 User (5.3k points)
You can also get a y-intercept easily by using x=0 and solving for y.  f(0)= -5/10= -1/2

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