+42 A line through the points (2,-9) and (j,17) is parallel to the line 2x+3y=21. What is the value of j.
+179 Writing 2x+3y=21 in slope-intercept form, we have y=-2/3x+7, meaning the slope is -2/3. If the line mentioned is parallel, then it must have the same slope. Thus, the line passes through the points (2, -9) and (j, 17) and has a slope -2/3, directly translating to 17−(−9)j−2=−23. Solving this equation, the solution is j=−37
