Answer:
y = -4/15x + 32/15
Explanation:
the given points are,
x1, y1 = 3, 4/3
x2, y2 = 1/2, 12/6 = 1/2, 2
equation of the line is:
y = mx + c
where slope, m = y2 - y1 / x2 - x1
= 2 - 4/3 divided by 1/2 - 3
= 6 - 4 / 3 divided by 1 - 6 / 2
= 2/3 divided by -5/2
= 2/3 * -2/5 = -4/15
let's take x1, y1 co-ordinates to find constant, c:
4/3 = -4/15(3) + c
c = 4/3 + 4/5 = 20 + 12 / 15 = 32/15
thus, the equation of the line is,
y = -4/15x + 32/15