The slope of the line below is -4. use the coordinates of the labeled point to
find a point-slope equation of the line.
10
(4,-9)
o a. y-9--4(x+4)
o
b. y + 9 = 4(x-4)
o c. y+ 9 = -4(x - 4)
o d. y- 9 = 4(x+4)

Step-by-step explanation:

The point-slope form of an equation of a line:

m - slope

(x₁, y₁) - point on a line

We have the slope m = -4, and the point (4, -9).

Substitute:

dont think so

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.