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

Jul 9, 2015

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 $2 x + 5 = y$ 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 $2 x + 5 = 0$?
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 $2 \cdot 0 + 5 = y$?
The answer is $y = 5$.
Therefore, Y-intercept is $5$.