Question

the slope of a straight line passing through A (3,-4) is 5/12 the points on the line that are 26 unit away from A are

Answer 1

Answer:

(27,6) (-21,-14)

Step-by-step explanation:

We need to know the parametric form of representing a straight line:

Equation of line passing through (x₁,y₁) and making inclination ∅ with the positive x-axis is given by

x-x₁/cos∅ = y-y₁/sin∅ = r(parameter).

Now, r parameter represents the movement along the line. r can take positive or negative values depending on which side of (x₁,y₁) one is traversing.

So, (x,y) in parametric form would be

(x₁ ± rcos∅ , y₁±rsin∅ )

Now given r =26 Point(3,-4),

Given tan∅ = 5/12,

so sin∅ = 5/13, cos∅ = 12/13

(x,y) = (3±26*12/13,-4±26*5/13)

=(3±24,-4±10)

=(3+24,-4+10) or (3-24,-4-10)

=(27,6) or (-21,-14).