writing equations in parallel form

Question

write in parallel to y=6x+1 and that passes through the point (-7,1)

Answer 1

Parallel lines have the same slope. We have two chouces.

1. Use point-slope form.

y - y₁ = m(x - x₁)

y - 1 = 6(x - (-7))

y - 1 = 6x + 42

y = 6x + 43

2. Solve for b.

y = mx + b

1 = 6(-7) + b

1 = -42 + b

b = 43

y = 6x + 43