A line contains the points (4,4) and (5,2). What is the equation of the line that contains these two points?

y=-2/1x+12

Step-by-step explanation:

To find slope you need to use slope formula (y2-y1)/(x2-x1)

(2-4)/(5-4)

-2/1 is our slope

Now we need the y-int

Y=-2/1x+b

Take one of the given points and apply it to our equation

2=-2/1(5)+b

2=-10/1+b

2=-10+b

Add 10 to each side

12=b

Our final equation is

y=-2/1x+12

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.