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sqdancefan

9514 1404 393

Answer:

  y = -4x +2

Step-by-step explanation:

The equation you're writing is in slope-intercept form. The coefficient of x is the slope, which is the "rise"/"run" of the line.

Here, to get from the left point to the right point, you must go down 4 units (rise=-4) and 1 unit to the right (run=1). So, the slope is ...

  m = rise/run = -4/1 = -4

The constant in the equation is the y-intercept: the y-coordinate of the point where the line crosses the y-axis. That point is marked as (0, 2), so its y-coordinate is 2.

The equation for the line is ...

  y = -4x +2

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