(Give your answers correct to three decimal places.)
3 Answers

Take a line that is perpendicular to this line that also passes through the origin.
y = 3x + 4
m = 3
m * n = 1
3 * n = 1
n = 1/3
y = (1/3) * x + b
0 = (1/3) * 0 + b
0 = b
y = (1/3) * x
(1/3) * x = 3x + 4
10/3 * x = 4
x = 4 * 3 / (10)
x = 12 / (10)
x = 6/5
y = 3x + 4
y = 3 * (6/5) + 20/5
y = 18/5 + 20/5
y = 2/5
(6/5 , 2/5)

That’s when y = 0 so x = 4/3 or – 1.333 and x = 0 so y = 4

(1,0)