SOLUTION: What is the length of the line with a slope of 4/3 from a point (6, 4) to the y-axis?

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Question 1009372: What is the length of the line with a slope of 4/3
from a point (6, 4) to the y-axis?

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
What is the length of the line with a slope of 4%2F3
from a point (6, 4) to the y-axis?
first find equation of the line with a slope of 4%2F3 that passes trough the point (6, 4)
y=mx%2Bb ...plug in m=4%2F3, x=6, and y=4 to find b
4=%284%2F3%296%2Bb
4=%284%2Fcross%283%29%29cross%286%292%2Bb
4=4%2A2%2Bb
4=8%2Bb
4-8=b
-4=b


so, equation is y=%284%2F3%29x-4
=> y-intercept is at (0, -4)
now we need to find the distance between (6, 4) and (0, -4)

d=sqrt%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29
d=sqrt%28%286-0%29%5E2%2B%284-%28-4%29%29%5E2%29
d=sqrt%2836%2B%288%29%5E2%29
d=sqrt%2836%2B64%29
d=sqrt%28100%29
d=10