Find the point slope equation for the line that passes through the points (-10, -20) and (1, -9) 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 (- 10, - 20) and (1, - 9)

y2 = - 9

y1 = - 20

x2 = 1

x1 = - 10

m = (- 9 - - 20)/(1 - - 10) = 11/11 = 1

To determine the equation, we would substitute x1 = - 10, y1 = - 20 and m= 1 into the point slope form equation. It becomes

y - - 20 = x - - 10

y + 20 = x + 10

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

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