Find the equation of the line passing through the points (2 11) and (-8 -19)

Y=2x+7

Step-by-step explanation:

To find the gradient of the line u have to subtract the y intercepts and the x intercepts

11--9/2--8=20/10=2

Y-11/x-2=2

Y-11=2(x-2)

Y-11=2x-4

Y=2x-4+11

Y=2x+7

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

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