What is the equation of the line that passes through (0, 3) and (7,0)?

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  y = -3/7x +3

Step-by-step explanation:

The two intercepts are given, so the intercept form of the equation for a line can be a place to start:

  x/(x-intercept) +y/(y-intercept) = 1

  x/7 +y/3 = 1 . . . . an equation for the line

To put this in slope-intercept form, we need to isolate the y-term, then make its coefficient be 1.

  y/3 = -x/7 +1 . . . . . subtract the x-term

  y = -3/7x +3 . . . . . multiply by 3. slope-intercept form

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