(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)