Question

Find equation of the line shown​

Answer 1

`\huge\boxed{y=-x+9}`

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept

From the graph we have the y-intercept (0, 9) → b = 9.

Substitute it to the equation of a line:

`y=mx+9`

From the graph we have the x-intercept (9, 0) → x = 9, y = 0.

Substitute to the equation:

`0=9m+9` subtract 9 from both sides

`-9=9m` divide both sides by 9

`-1=m\to m=-1`

Finally:

`y=-1x+9`