In the xy-plane, line h passes through the points
(0,5) and (4,0). Which of the following is an
equation of line h?
A) 4x + 5y = 20
B) 5x + 4y = 20
C) 4x - 5y = 20
D) 5x – 4y = 20

Respuesta :

Answer:

5x + 4y = 20

Step-by-step explanation:

(x1,y1)    and (x2, y2)

(0,    5)     and (4  ,0).

From equation of a line

y2 - y1/x2 - x1 = y - y1/ x - x1

Where x1 = 0, y1 =5 , x2 = 4 , y2 = 0

Imputing values,

0- 5/4-0  = y - 5 / x - 0

-5/4 = y -5/x

Multiply both sides by 4x I. E lcm of 4 and x

4x × -5/4 = y-5/x  × 4x

-5x = 4(y - 5)

-5x = 4y - 20

Add 5x to both sides

-5x + 5x = 5x + 4y - 20

5x + 4y - 20 = 0

Add 20 to both sides

5x + 4y - 20 +20 = 0+20

5x + 4y = 20

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