Linear algebra find the equation

Question

Parallel to y=2x+5 and passes the line (4,3)

Answer 1

If the line is parallel, it will have the same slope as the given line. In this case, m = 2.

Use:

y-y₁ = m(x-x₁)

to find the parallel line passing through (4,3)

y-3 = 2(x-4) = 2x-8

y = 2x-8+3 = 2x-5