On a coordinate plane, a line goes through (negative 2, negative 4) and (2, 2). a point is at (negative 3, 1).
what is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)?

y – 1=negative three-halves(x + 3)
y – 1=negative two-thirds(x + 3)
y – 1= two-thirds(x + 3)
y – 1= three-halves(x + 3)

false

inverse variation is not exponential

the equation simplified is 7/8. but the lcd is 8.

question says to graph a triangle (xyz) and reflect it over the line y=x to create triangle x'y'z'.

we know that line y=x has both coordinates equal like (1,1), (5,5) etc so we can easily graph that reflecting line.

description of transformation:

we can see that x and y coordinate gets switched after transformation like (2,8) changed to (8,2)

what do you notice about the two line segments you drew:

we see that line segments xp and x'p are of same length and perpendicular to the reflecting line y=x.

do you think you would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line? :

yes, i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line.

how do you know? :

by measuring the length of yk and y'k.