Question

How do you find the equation of a line given that: slope is 5/6 and the y intercept is (0,-7)?

Answer 1

`y=5/6x-7`

Explanation:

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

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

here m`=5/6" and y-intercept"=-7`

`rArry=5/6x-7" is the equation of the line"`

Answer 2

`y=5/6x-7`

Explanation:

Consider the standard form equation of a straight line

`y=mx+c`

In this `m` is the slope (gradient) and `c` is the y intercept so using the given information we have:

`m=5/6`
`y_("intercept")->(x,y)=(0,-7) -> c = -7`

`color(brown)(y=mx+c" "->" "color(blue)(y=5/6x-7))`