Question

Write an equation for the line parallel to the line 24x+8y=7 through the point (-5, -8).

Answer 1

Paralelll ines have same slope
in form
ax+by=c
slope=-a/b

point slope form
the equtaiotn of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
so
find slope

24x+8y=7
slope=-24/8=-3

a point is (-5,-8)

m=-3


y-(-8)=-3(x-(-5))
y+8=-3(x+5)
y+8=-3x-15
y=-3x-23