In the xy -plane above, point C has coordinates (6,9). Which of the following is an equation of the line that
contains points O and C

y=3/2x

Step-by-step explanation:

We have O (0,0)  and C (6,9) so the slope of the line is:

m=y2-y1/x2-x1=9-0/6-0=3/2

Use the slope-intercept form a line given by:

y=mx+b

From above, we have m=3/2 and since the y-intercept is at (0,0) , then b=0 so:

y=3/2x+0

or

y=3/2x

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

-2 is the right