Question

What are the points that are contained in the graph of the equation?

Answer 1

(0,
`(1)/(2)` ) , (1,
`(5)/(4)` ) , (2, 2 )

Explanation:

to determine which points are contained in the graph.

substitute the x- coordinate of each point into the equation and if the value obtained is equal to the y- coordinate of the point then it is contained in the graph.

(0,
`(1)/(2)` )

y =
`(3)/(4)` (0) +
`(1)/(2)` = 0 +
`(1)/(2)` =
`(1)/(2)` = y- coordinate ← contained in graph

(1,
`(5)/(4)` )

y =
`(3)/(4)` ( 1) +
`(1)/(2)` =
`(3)/(4)` +
`(1)/(2)` =
`(3)/(4)` +
`(2)/(4)` =
`(5)/(4)` = y- coordinate ← contained in graph

(
`(1)/(2)`, 0 )

y =
`(3)/(4)` (
`(1)/(2)` ) +
`(1)/(2)` =
`(3)/(8)` +
`(4)/(8)` =
`(7)/(8)` ≠ y- coordinate ← not contained in graph

(2, 2 )

y =
`(3)/(4)` (2) +
`(1)/(2)` =
`(3)/(2)` +
`(1)/(2)` =
`(4)/(2)` = 2 = y- coordinate ← contained in graph