Question

What is the slope intercept form of a line that passes through points (2,11) and (4,17)?

Answer 1

Answer:y=3x-5

Explanation:

Answer 2

`y = 3x + 5`

Explanation:

The equation of a line in the pending intercept form has the following form:

`y = mx + b`

Where m is the slope of the line and b is the intercept with the y axis.

If we know two points
`(x_1, y_1)` and
`(x_2, y_2)` that belong to the line then:

`m=(y_2-y_1)/(x_2-x_1)`

`b=y_1-mx_1`

In this case:

`(x_1, y_1)=(2,11)`

`(x_2, y_2)=(4,17)`

`m=(17-11)/(4-2)`

`m=(6)/(2)`

`m=3`

`b=11-3(2)`

`b=11-6`

`b=5`

Finally the equation is:

`y = 3x + 5`