Problem

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

Solution

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 :\(\boxed{5x + 4y = 20}\)

From Solvely APP
Source: https://solvelyapp.com/problems/17114/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download