Q:

Select all the points that are on the graph of the line 2x + 4y=20 a.)(0.5) b. (0,10) c. (1,2) d.) (1,4) e.) (5,0) f. (10,0)

Accepted Solution

A:
Answer:(0,5) and (10,0)Step-by-step explanation:The equation of the straight line is given by 2x + 4y = 20 .......... (1) Now, point (0,5) satisfies the equation (1) as putting x = 0, we will get y = 5. Now, point (0,10) does not satisfy the equation (1) as putiing x = 0, we get y = 5 ≠ 10 Again, point (1,2) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 2 Now, point (1,4) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 4 Again, point (5,0) does not satisfy the equation (1) as putiing y = 0, we get x = 10 ≠ 5 Finally, point (10,0) satisfies the equation (1) as putiing y = 0, we get x = 10 . Therefore, only points (0,5) and (10,0) are on the graph of the line 2x + 4y = 20 (Answer)