Question

The equation of the graphed line is x + 2y = 5. What is the x-intercept of the graph?

The x-intercept is

Answer 1

The x-intercept of the graph is:

5

and the point where it is obtained is (5,0)

Explanation:

We know that the x-intercept of a graph is the x-value of the point where it's y-value is zero.

Similarly the y-intercept of a graph is the y-value of the point where it's x-value is zero.

We are given a equation of a line as:

`x+2y=5`

Hence, when y=0 in the equation we get:

`x=5`

Hence, the point where the x-intercept is obtained is: (5,0)

and the x-intercept of the graph is: 5

Answer 2

If you have to find x-intercept, then you have to equate y to 0. Thus,

when y=0, x+2·0=5 and x=5.

Point (5,0) is x-intercept.

Answer: (5,0)