In the equation above, 𝑘 is a constant. One point at which the graphs of the equations intersect in the 𝑥𝑦-plane is (𝑛, 0), where 𝑛 is a constant. What is the value of 𝑘 ?

​ y=3x 2 −kxy=4−2x​ In the equation above, 𝑘 is a constant. One point at which the graphs of the equations intersect in the 𝑥𝑦-plane is (𝑛, 0), where 𝑛 is a constant. What is the value of 𝑘 ?

For the equation:𝑦=6𝑥−8The coordinates of the 𝑦-intercept are (0,)

The graph of the equation 𝑎𝑥+𝑏𝑦=4ax+by=4 is a line in the 𝑥𝑦xy-plane, where 𝑎a and 𝑏b are constants. If the line contains the points (−2,8)(−2,8) and (1,−3)(1,−3), what is the value of 𝑎+𝑏a+b ?A−8−8 B66 C2222 D2828

Consider the functions 𝑔 and ℎ given by 𝑔𝑥=4𝑥 and ℎ𝑥=16𝑥+2. In the 𝑥𝑦-plane, what is the 𝑥-coordinate of the point of intersection of the graphs of 𝑔 and ℎ ?

In the 𝑥𝑦xy-plane, the point (𝑝,𝑞)(p,q) lies on the line with equation 𝑦=𝑥+𝑏y=x+b, where 𝑏b is a constant. The point with coordinates (2𝑝,7𝑞)(2p,7q) lies on the line with equation 𝑦=2𝑥+𝑏y=2x+b. If 𝑝p ≠ 00, what is the value of 𝑞𝑝pq​  ?A2552​  B1221​  C2772​  D7227​