A line through the points (2, -9) and (j, -17) is parallel to the line 2x + 3y = 21. What is the value of j?
+36916 2x + 3y = 21
is the same as y = -2/3x + 7 slope , m = -2/3
Parallel slope is the same slope -2/3
(-9- -17) / (2-j) = - 2/3 solve for 'j'
+2401 2x + 3y = 21
3y = -2x + 21
y = -2/3x + 7
So the slope of that line is -2/3, meaning this line has to have the same slope.
y = -2/3x + b
Plugging in (2, -9)
2 = -2/3(9) + b
2 = -6 + b
b = 8
So our equation is y = -2/3x + 8
We're solving for j.
-17 = -2/3j + 8
-25 = -2/3j
j = 37.5
=^._.^=
