Question

Which equation represents the line that is parallel to

5
x
+
y
=
13
and passes through the point
(
15
,
−
31
)
?

Answer 1

y=-5x-44

Explanation:

5x+y=13 passes through (15,31)

rearrange the equation to y=mx+c

5x+y=13

y=-5x+13

substitute the points (15,31)

y=5x+c

31=5(15)+c

31=75+c

-44=c

y=-5x-44

Can be written as 5x+y=-44