Find equation of the line shown

Question

asked Apr 23, 2021 220k views

1 Answer

Brock Adams · Answer 1 · 2021-04-28T02:57:07+0000

Answer:

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

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