Question

How do you find the intercepts for `2x+5=y`?

Answer 1

X-intercept is `-2.5`.
Y-intercept is `5`

Explanation:

This problem is about finding the points of intersection between a straight line (a graph) defined by a function `2x+5=y` and axis of coordinates.

graph{2x+5 [-10, 10, -5, 5]}

A point of intersection of our graph with the horizontal X-axis is called the X-intercept and is characterized by a specific value of X-coordinate when Y-coordinate equals to `0`.
So, what is the value of `x` if `2x+5=0`?
The answer is `x=-2.5`.
Therefore, X-intercept is `-2.5`.

A point of intersection of our graph with the vertical Y-axis is called the Y-intercept and is characterized by a specific value of Y-coordinate when X-coordinate equals to `0`.
So, what is the value of `y` if `2*0+5=y`?
The answer is `y=5`.
Therefore, Y-intercept is `5`.