Mathematics: Find the equation of the line L.

2+2=4 16 divided by 4=4Step-by-step explanation:...

Find the equation of the line L. - id14804791, adelarangelmartinez

jacobbrandon2002

25.11.2021

y = ( $-\frac{1}{2}$ )x + 4

Step-by-step explanation:

(x1,y1) = (0,4) ; (x2,y2) = (8,0)

The equation will look like y=mx+b

Slope m = $\frac{rise}{run}$ = $\frac{y2-y1}{x2-x1}$ = $\frac{0-4}{8-0}$ = $\frac{-4}{8}$ = $-\frac{1}{2}$

Next, substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to the equation y=mx+b to find b.

y=mx+b

0 = ( $-\frac{1}{2}$ )8 + b

0 = -4 +b

0+4 = -4 +4 +b

b=4

Then substitute b and m to the equation y=mx+b

y = mx + b

y = ( $-\frac{1}{2}$ )x + 4

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