Given m = -6/5 and the point (6, 5), which of the following is the point-slope form of the equation?

y - 5 = -6/5(x - 6)

y - 5 = 6/5(x + 6)

y - 6 = 6/5(x - 5)

y + 6 = 6/5(x + 5)

Step-by-step explanation:

The point slope form is expressed as

y - y1 = m(x - x1)

Where

m represents slope

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

The given line has a slope of - 6/5 and it passes through (6, 5). Therefore,

y1 = 5

x1 = 6

To determine the equation, we would substitute x1 = 6, y1 = 5 and m = - 6/5 into the point slope form equation. It becomes

y - 5 = -6/5(x - 6)

answer: (-6,3)

step-by-step explanation: