P and Q are two observation posts on the same horizontal ground as the foot R
of a vertical pole RT. P is 2.5 km south
of R. Q is east of R and is on a bearing
of 065° from P. The angle of elevation
of T from P is 40°. Calculate, correct to
three significant figures:
i) sketch the diagram
ii) the distance RT
iii) the distance RO
iv) the distance PQ
v) the angle of elevation of T from Q.​

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

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