Which of the points shown below are on the line given by the equation y = 5x? Check all that apply.

A. Point A: (5, -1)

B. Point B: (1, 5)

C. Point C: (0, 0)

D. Point D: (-3, 2)

The collection of all points in the plane with the form (x, f(x)) that make up a function f's graph.
We may alternatively say that the graph of f is the graph of y = f. (x).
As a result, the graph of an equation is a particular instance of the graph of a function. Allow f(x) to equal x2 - 3.
The graph is a function if a vertical line drawn across it is moved and only ever touches it at one point.

To solve y = 5x we check all options in equation by value putting.

let y = 5x .......................(1)

Put point A ( 5, -1) in equation (1)

So, x = 5 & y = -1

y = 5x ⇒ -1 = 5 ×5= 25

Put point B (1,5) in equation (1)

So, x = 1 & y = 5

y = 5x ⇒ 5 = 5 × 1 = 5

Put point C (0,0) in equation (1)

x = 0 & y = 0

y = 5x ⇒ 0 = 5 × 0 =0

Put point D ( -3 ,2) in equation (1)

x = -3 & y = 2

y = 5x ⇒ 2 = -3× 2 = -6

In all these points , B & C points are have same value on both side.

So, we can say that b&c are the points which are shown on the line.

Therefore, The correct Options are B and C.

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