Question

How do you write the equation of the line given the slope 2, y intercept (0,9)?

Answer 1

`y=2x+9`

Explanation:

Eqn of a line is

`y=mx+c`

where
`m="slope/gradient ";c="y intercept"`

slope `=2`

`=>y=2x+c`

to find`" "c" "` substitute the known coordinates in

`9=2xx0+c`

`9=0+c`

`:.c=9`

so the eqn is

`y=2x+9`

Answer 2

`y=2x+9`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))`
where m represents the slope and b, the y-intercept.

`"here " m=2" and " b=9`

`rArry=2x+9larrcolor(red)" in slope-intercept form"`