What is an equation of the line that passes through the points (-8, 2) and (-4,-3)?

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  5x +4y = -32

Step-by-step explanation:

The 2-point equation for a line is a good place to start.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-3-2)/(-4-(-8))(x -(-8)) +2

  y = -5/4(x +8) +2 . . . . an equation of the line

  y = -5/4x -8 . . . . . slope-intercept form

  5x +4y = -32 . . . . . standard form