Answer:
y = -2x - 3
Step-by-step explanation:
Please look carefully at this graph. There are two red dots on the graph. The x- and y-coordinates of one are (-5,7) and those of the other are (0,-3).
Now as we move to the right, from (-5,7) to (0,-3), x increases by 5 and y decreases by 10 (note that 7-10 is -3). Thus, the slope of this line is
m = rise / run = -10/5, or m = -2.
Then the equation of this line, in point-slope form, is
y-7 = -2(x-[-5])x, or y-7 = -2(x+5). This is in point-slope form.
If you'd like to have it in slope-intercept form, manipulate y-7 = -2(x+5) as follows: (a) add 7 to both sides, obtaining y = -2(x+5) + 7, and (b) perform the indicated multiplication: y = -2x - 10 + 7, or y = -2x - 3.