# Midpoint

The midpoint is the point that is halfway between 2 given points.

 Midpoint = (x1 + x2) , (y1 + y2) 2 2

## Example One - Midpoint

What is the midpoint between the points (2,1) and (4,5)?

(x1, y1) = (2,1)
(x2, y2) = (4,5)

 Midpoint = (x1 + x2) , (y1 + y2) 2 2
 Midpoint = (2 + 4) , (1 + 5) 2 2

Midpoint = (3,3)

## Questions - Find the Midpoint

Q1. (2,5) and (6, 10)
Q2. (–3, –5) and (–7, 9)

A1. (4 , 7.5)
A2. (–5, 2)

## X-Intercept

The x-intercept is the point at which a graph crosses the x-axis.

The y-coordinate at the x-intercept is 0.

## Example Two - X-Intercept

Find the x-intercept of the graph of y = x + 3.

y = x – 3
0 = x – 3
x = 3
The coordinates of the x-intercept are (3,0)

## Y-Intercept

The y-intercept is the point at which a graph crosses the y-axis.

The x-coordinate at the y-intercept is 0.

## Example Three - Y-Intercept

Find the y-intercept of the graph of y = x + 3.

y = x – 3
y = 0 – 3
y = –3
The coordinates of the x-intercept are (0,–3)

## Questions - Intercepts

Q1. Find the x-intercept of y = 5x + 3.
Q2. Find the y-intercept of y = 4x – 8.   