Question

Y=5683x + 976, will it pass through the origin?​

Answer 1

The equation y = 5683x + 976 has a y-intercept of 976, not 0; hence it does not pass through the origin.

Step-by-step explanation:

To determine whether the equation y = 5683x + 976 will pass through the origin, you need to check if the point (0,0) satisfies the equation. An equation of a line will pass through the origin if its y-intercept is 0. The y-intercept is the value of y when x is 0. Looking at the given equation, if we substitute x with 0, we get y = 5683(0) + 976, which simplifies to y = 976. Therefore, the y-intercept is 976, not 0. This means the line does not pass through the origin since the y-intercept is a point on the y-axis located at (0, 976).

Answer 2

No, it will not pass through origin.

Step-by-step explanation:

Given:

The equation of the line is:

`y=5683x+976`

The coordinates of the origin are
`x=0,y=0`. So, if the line passes through the origin, then the 'y' value at
`x=0` must be 0.

Let us check the 'y' value at
`x=0`.

Plug in
`x=0` in the above equation. This gives,

`y=5683* 0 + 976`

`y=0+976`

`y=976`

So, at
`x=0`, the value of 'y' is 976 which is not equal to 0.

Hence, it will not pass through the origin as for
`x=0`, the value of 'y' is not 0.