9514 1404 393
Answer:
4x +5y = 25
Step-by-step explanation:
One way to write the equation is ...
(y2 -y1)x -(x2 -x1)y = (y2 -y1)(x1) -(x2 -x1)(y1)
(1 -5)x -(5 -0)y = (1 -5)0 -(5 -0)5
-4x -5y = -25 . . . . . has a leading minus sign, so we want to multiply by -1
4x +5y = 25 . . . . standard form equation of the line
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Another way to write the equation is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (1 -5)/(5 -0)(x -0) +5
y = -4/5x +5 . . . . slope-intercept form of the equation of the line
