Please answer asap find equation

9514 1404 393

  y = 4/3x -(4 2/3)

Step-by-step explanation:

The vertical difference between the two marked points is ...

  2 -(-6) = 8

The horizontal difference between them is ...

  5 -(-1) = 6

The slope is the ratio of these values:

  m = ∆y/∆x = 8/6 = 4/3

The point-slope form of the equation of the line can be written using this slope and the upper point:

  y -y1 = m(x -x1)

  y - 2 = 4/3(x -5) . . . . substitute known values.

This is an equation for the line.

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This can be rearranged to slope-intercept form:

  y = 4/3x -20/3 +2

  y = 4/3x -14/3

  y = 4/3x -(4 2/3)