Question

Find the coordinates of the point where the line
`y=5x+7\\` crosses the
`y` axis

Answer 1

(0, 7)

Explanation:

The point that crosses the y-axis is called the y-intercept of the line.

We are given an equation of the line and we need to determine the y-intercept. This can be done by determining the constant in the equation.

What are constants?

Constants are such terms that include only numbers. There should be no variables in constants.

We know that:

`\bullet \ \text{Given equation of line: y = 5x + 7}`

The constant we can see in the equation is "7". Therefore, the y-intercept is 7.

Note: The y-intercept of the line must have an x-coordinate of 0.

Therefore,

⇒ Coordinates of y-intercept: (x, y) ==> (0, 7).