Point C is in the interior of angle DEF. If angle DEC and angle CEF are congruent, then segment EC is the of angle DEF.
A. ANGLE BISECTOR
B. PERPENDICULAR BISECTOR
C. MIDPOINT

Option A

Step-by-step explanation:

Line EC splits the angle into two equal angles so it is an angular bisector of DEF.

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is