Question

A student says that the x-intercept of the graph x+2y = 5 is the point (0,5).

Is the student correct?

Answer 1

No, the student is incorrect.

Explanation:

First we need to find the x-intercept. You can do so by solving for the variable x, and letting y = 0.

• 
  `x+2(0)=5`

• 
  `x=5`

The x-intercept of the graph of
`x+2y=5` is at
`(5,\ 0)`, because the formula for a point on a graph is
`(x, \ y)`, where the x-value comes first.

The x-value is 5, and the y-value is 0, because that is what we substituted into the equation.

In other words, when the graph touches the x-axis at 5 (5, 0), the y-value of this point of intersection will be 0.

This student is NOT correct because the point they give (0, 5) is flipped from the correct x-intercept.