Find the point slope equation for the line that passes through the points (-6,24)and (5,-31) use the first point in your equation

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

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The given points are (- 6,24) and

(5, - 31)

y2 = - 31

y1 = 24

x2 = 5

x1 = - 6

Slope,m = (- 31 - 24)/(5 - - 6)

= - 55/11 = - 5

To determine the equation, we would substitute x1 = - 6, y1 = 24 and m = - 5 into the point slope form equation. It becomes

y - 24 = - 5(x - - 6)

y - 24 = - 5(x + 6)

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step-by-step explanation: