can you help me with math please.

Question

Find an equation of the line that satisfies the given conditions.
Through (1, −5); parallel to the line x + 2y = 6

Answer 1

Parallel to x+2y=6 through (1,-5)

 

Note: slope of ax+by=c is -a/b.

 

Parallel lines have the same slope.

The slope of x + 2y = 6 is -1/2

 

We have slope m=-1/2, and point (1,-5).

 

Point slope form: y - y₁ = m(x-x₁)

y-(-5) = (-1/2)(x-1)

y + 5 = (-1/2)(x-1)

 

If you need this in standard form of ax +by = c, then

 

2(y+5) = -(x-1)

2y + 10 = -x + 1

x + 2y = -9