What is the y-intercept for the graph of the equation 3x-5y=15​

Step-by-step explanation:

We need to convert function to slope-intrcept form y=mx+b, where:

3x - 5y = 15​           {subtract 3x from both sides by 20}

-5y = -3x + 15                    {divide both sides by (-5)}

y = 3/5x - 5     ⇒   b = -5

Therefore y-intercept of the line is (0, -5)

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