Question

write the equation of the line that is parallel to the line represented by 5 x + 2 y = 6 and passes through the point (1, 5.5).

Answer 1

`y=-2.5x+8`

Explanation:

Parallel lines have the same slope but different y-intercepts. So, first, transform the given equation into the slope-intercept form,
`y=mx+b`.

`5x+2y=6`

`2y=-5x+6`

`y=-(5)/(2) x+3`

Then, determine the equation of a line that has a slope of
`-(5)/(2)` and passes through (1, 5.5). Substitute all the known values and solve for b.

`y=mx+b`

`5.5 = -(5)/(2) *1+b`

`5.5=-2.5+b`

`b=8`

Therefore, the answer is
`y=-2.5x+8`.