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.

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: