Given u(-4,-1) and v(7,1), write an equation for the line through u and perpendicular to uv

Step-by-step explanation:

Perpendicular lines are lines which intersect at a 90 degree angle. They also are lines which slopes are negative reciprocals of each other. The line UV has slope 2/11. This is found using the slope formula:

Since it will be perpendicular the slope is -11/2. Substitute m = -11/2 and the point (-4,-1) into the point slope form.

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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