What is the equation in slope intercept form of the line that passes through the point(5,0)and is parallel to the line represented by y=1.2x+3.8

Step-by-step explanation:

y - 0 = 1.2(x - 5)

y = 1.2x - 6

The equation of the line is:

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The equation of a line, in slope-intercept formula, is given by:

In which:

It passes through point (5,0), which means that when , and this is used to find b.

Thus, the equation is:

A similar problem is given at link

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4