Question

The graph has y-intercept (0,6) and contains the point (2,1).

Answer 1

b.
`y=-2.5x+6`

Explanation:

Given:

y-intercept = (0,6)

Line passes through point (2,1)

To find equation of line.

Using the two points given, we can find slope of line which is given as:

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

where
`(x_1,y_1)` and
`(x_2,y_2)` lie on the line.

So, the slope of line with points (0,6) and (2,1) can be found out as:

`m=(1-6)/(2-0)`

`m=(-5)/(2)`

∴
`m=-2.5`

The slope intercept equation of line is given as:

`y=mx+b`

`m\rightarrow` slope of line

`b\rightarrow` y-intercept.

For the given line:

`m=-2.5`

`b=6`

Equation of line will be:

`y=-2.5x+6` (Answer)