What is y=5x+8; (2, 16) in an equation for the line that is parellel to the given line that passes through the given point

Question

I need to find the equation for the linr that is parallel to the given line and passes through the given point

Answer 1

y = 5x + 8 has a slope of 5. Since parallel lines have the same slope, you have a point (2,16) and a slope; so, use the Point-Slope form of the equation of a line.

y - y₁ = m(x - x₁)

y - 16 = 5(x - 2)

y - 16 = 5x - 10

y = 5x + 6