The slope can be found by using the formula: m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))m=y2−y1x2−x1
Where mm is the slope and (color(blue)(x_1, y_1)x1,y1) and (color(red)(x_2, y_2)x2,y2) are the two points on the line.
Substituting the slope and values from the points in the problem gives:
-10 = (color(red)(8) - color(blue)(s))/(color(red)(2) - color(blue)(3))−10=8−s2−3
We can now solve for ss:
-10 = (color(red)(8) - color(blue)(s))/-1−10=8−s−1
-10 = -(color(red)(8) - color(blue)(s))/1−10=−8−s1
-10 = -(color(red)(8) - color(blue)(s))−10=−(8−s)
-10 = -color(red)(8) + color(blue)(s)−10=−8+s
8 - 10 = 8 - color(red)(8) + color(blue)(s)8−10=8−8+s
-2 = 0 + color(blue)(s)−2=0+s
-2 = color(blue)(s)−2=s
color(blue)(s) = -2s=−2
