Find the slope and y- of the table

y = (3/2) x +6

Step-by-step explanation:

The y-intercept is clearly at y = 6 point (0, 6) of the table.

The slope can be calculated using any two pairs, for example (-4,0) and (-2, 3)

slope = (y2 - y1)/(x2 - x1) = (3 - 0) / (-2 + 4 ) = 3/2

Then the equations of the line in slope y-intercept form is:

y = (3/2) x +6

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.

x=6 and x=3

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