SOLUTION: "The gradient of the line joining (4, q) to (6, 5) is twice the gradient of the line joining (0, 0) to (4, q). Find q." Why is the equation for this answer (q-5)/(4-6) = 2(q/4)

Question 1166858: "The gradient of the line joining (4, q) to (6, 5) is twice the gradient of the line joining (0, 0) to (4, q). Find q."
Why is the equation for this answer (q-5)/(4-6) = 2(q/4) and not (5-q)/(6-4) = 2(q/4) ? I don't understand.
Answer by ikleyn(52797) (Show Source): You can put this solution on YOUR website!
.

For your info

    (q-5)/(4-6)    =    (5-q)/(6-4).

Therefore, the two writings are EQUIVALENT.

RELATED QUESTIONS
The gradient of the line joining (4, q) to (6, 5) is twice the gradient of the line... (answered by josgarithmetic)

Hi all, please help me to solve this - I have the answer, but I cannot "back engineer"... (answered by stanbon)

Find the algebraic expression for the gradient of the straight line joining A (p, q) to B (answered by ikleyn)

Give that (6,p) is the midpoint of the line joining the points (q,4) and (8,6), find the... (answered by mananth)

find a if the line joining (3,a) to (-6,5) has gradient of... (answered by Fombitz)

Find a given the line joining X (-2,3) and Y (a-1) is parallel to a line with a gradient... (answered by stanbon)

The line joining (-2,1) to (6,4), is parallel to the line joining (-q,5) to (4,q). Find... (answered by nerdybill,Theo)

The line joining A (1, 4) to B (5, p) has a gradient of 1/2. Find the value of... (answered by ikleyn,greenestamps)

The midpoint of the line joining R(P, 6) and S(-4, k) is (3,4). Find the values of p and... (answered by ewatrrr)