Question

Which statement is true about these functions?

1.The graph and the equation have the same slope.
2.The graph has a greater slope.
3.The equation has a greater slope.
4.none of the above.​

Answer 1

Option (2)

Explanation:

1). Equation of the line given in the question is,

`y=(1)/(2)x+5`

Slope of the line =
`(1)/(2)`

Slope of the line given in the graph =
`\frac{\text{Rise}}{\text{Run}}`

=
`(3)/(4)`

But
`(1)/(2)\\eq (3)/(4)`

Therefore, slopes of the line and the line given in the graph are not equal.

Option (1) is incorrect

2). Since,
`(3)/(4)> (1)/(2)`

Therefore, Option (2) is correct.

3). Since, graph has a greater slope, option (3) is incorrect.

Option (2) is the correct statement.