What is anequation of the line that passes through the points (0, -7) and (-6, -2)?

the desired equation is  y = (-5/6)x - 7

Step-by-step explanation:

Going from (-6, -2) to (0, -7), we see that x (the "run") increases by 6 and y (the "rise" decreases by 5.  Thus, the slope is m = rise / run = -5/6.

The slope-intercept equation y = mx + b becomes -7 = (-5/6)(0) = b, and so

b = -7.  

Thus, the desired equation is y = (-5/6)x - 7.

Check this by letting x = -6 and y = -2:  Is the resulting equation true?

-2 = (-5/6)(-6) - 7

-2 = 5 - 7          Yes, this is true and so we have verified that the desired equation is  y = (-5/6)x - 7

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step-by-step explanation: