Midpoint

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

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

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Example One - Midpoint

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

Answer:
(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)

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.

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Example Two - X-Intercept

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

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

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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.

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Example Three - Y-Intercept

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

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