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

1 Answer
Zor Shekhtman
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 #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#.

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