Answer:
[tex]y=-2.5x+8[/tex]
Step-by-step explanation:
Parallel lines have the same slope but different y-intercepts. So, first, transform the given equation into the slope-intercept form, [tex]y=mx+b[/tex].
[tex]5x+2y=6[/tex]
[tex]2y=-5x+6[/tex]
[tex]y=-\frac{5}{2} x+3[/tex]
Then, determine the equation of a line that has a slope of [tex]-\frac{5}{2}[/tex] and passes through (1, 5.5). Substitute all the known values and solve for b.
[tex]y=mx+b[/tex]
[tex]5.5 = -\frac{5}{2} *1+b[/tex]
[tex]5.5=-2.5+b[/tex]
[tex]b=8[/tex]
Therefore, the answer is [tex]y=-2.5x+8[/tex].
