Find an equation that is parallel to y=5x+1 with points 5,8?

Line equation:

(y - yo) = m.(x - xo)

Where (xo, yo) is a point of this line and m his angular coeficient.

To a line be parallel to other their angular coeficient needs to be equal, in a line equation (y = ax + b) the angular coeficient is "a".

So, in y = 5x + 1, a = 5. So,

(y - yo) = 5.(x - xo)

Now, just put the point coordinates in xo and yo.

(y - 8) = 5.(x - 5)

y - 8 = 5x - 25

y = 5x - 25 + 8

y = 5x - 17

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,