Answer:
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
