What is the equation of the line through the points (21, 14) and (49, 35)? (Please
be sure to simplify all fractions or write as decimals.)

y = 3/4x - 7/4

Step-by-step explanation:

Equation of a line with two points is

y_2 - y_1 / x_2 - x_1 = y -y _1 / x - x_1

We are provided with

( 21, 14)(49, 35)

x_1 = 21

y_1 = 14

x_2 = 49

y_2 = 35

Inserting the values

35 - 14/ 49 - 21 = y - 14/ x - 21

21/28 = y - 14/ x - 21

Cross multiply

21(x - 21) = 28(y - 14)

Open the brackets

21x - 441 = 28y - 392

21x - 441 + 392 = 28y

21x - 49 = 28y

Following the equation of line

y = mx + C

Divide through with 28 , to get y

28y / 28 = 21x - 49 / 28

y = 21x - 49/28

We can separate it

y = 21x / 28 - 49/28

y = 3/4x - 7/4

Therefore, the equation of line is y = 3/4x - 7/4

1.true 2.false? ? i think. .

step-by-step explanation:

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh