Question

How do you write an equation the line that is parallel to `5x+ 20y =10` and passes through the point (8, 3)?

Answer 1

The equation of line is `x + 4y = 20`

Explanation:

Parallel lines have equal slopes.

The slope of the line `5x+20y=10 or 20y= -5x+10 or y = -5/20x+10/20 = -1/4x +1/2` is `m= -1/4`

The equation of line passing through `(8,3)` is `y-y_1=m(x-x_1) or y-3= -1/4(x-8) or 4y-12 = -x +8 or x + 4y = 20` [Ans]