Gfind the equation of the line (in slope intercept form) passing through the point (4,3) and parallel to the line passing through (1,2) and (4,2).

The points (1, 2) and (4, 2) both have the same y-value, so that is the horizontal line y = 2.

The given point has y-value of 3, so the line passing through it will be

... y = 3

There is no x-term because the slope is 0. We could write it as

... y = 0x +3

but this simplifies to

... y = 3

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x