Write an equation of a line parallel to the line y−5=4/3(x−2).

Answer 1

Rewrite the equation in slope-intercept form, y = mx + b

y = 4/3(x-2) +5

y = 4x/3 + 7/3

For a line to be parallel to the above equation, it must have the same slope, m = 4/3

If we choose origin (0, 0) as another point, we could write the equation of the other line.

We substitute (0, 0) in the other equation which is written in point slope form y - y₁ = m(x - x₁),

where x₁= 0 and y₁ = 0

y - 0 = 4/3(x - 0)

y = 4x/3 (Answer)