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

Answer:

$y=-2.5x+8$

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, $y=mx+b$.

$5x+2y=6$

$2y=-5x+6$

$y=-\frac{5}{2} x+3$

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

$y=mx+b$

$5.5 = -\frac{5}{2} *1+b$

$5.5=-2.5+b$

$b=8$

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