Explain how you know. Is the point (20,24) on line ℓ? Explain how you know. Is the point (80,100) on line ℓ? Explain how you know.

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.

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