Determine the standard form of the equation of the line that passes through $(0,5)$ and $(4,0)$.
a. $-5 x+4 y=-20$
c. $5 x+4 y=20$
b. $-5 x-4 y=20$
d. $4 x-5 y=-20$
Please select the best answer from the choices provided
A
B
C
D

Answer

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Answer

$\boxed{5x + 4y = 20}$

Steps

Step 1 ：$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 5}{4 - 0} = \frac{-5}{4}$

Step 2 ：$b = y - mx = 5 - 0 = 5$

Step 3 ：$y = -\frac{5}{4}x + 5$

Step 4 ：$4y = -5x + 20$

Step 5 ：$5x + 4y = 20$

Step 6 ：$\boxed{5x + 4y = 20}$