Answer/Step-by-step explanation:
First find the equation of the line. The graph is a proportional graph. Hence, the equation would be in the form is y = kx.
Where k I stye constant of proportionality (y/x).
Using a point on the line, (4, 5),
k = y/x = ⁵/4
Substitute ⁵/4 into y = kx.
Thus, the equation of the graph would be:
y = ⁵/4x
Plug in the value of the x and y coordinates of a point into the equation to determine if the point is on line l. If it makes the equation true, then it is a point on the line.
Thus:
✍️For the point, (20, 24), substitute x = 20, y = 24 in y = ⁵/4x
24 = ⁵/4(20)
24 = 5(5)
24 = 25 (NOT TRUE)
✅Therefore, the point, (20, 24) is not a point on line l.
✍️For the point, (80, 100), substitute x = 80, y = 100 in y = ⁵/4x
100 = ⁵/4(80)
100 = 5(20)
100 = 100 (TRUE)
✅Therefore, the point, (80, 100) IS A POINT on line l.
