A graph of a linear function intersects the coordinate axes in points (–5, 0) and (0, 11). What is the equation of this function?

Respuesta :

we know that
the linear function is a line
let
(–5, 0)
(0, 11)

step 1
find the slope m
m=(y2-y1)/(x2-x1)----> m=
(11-0)/(0+5)------> m=11/5

step 2
y=mx+b
we know the y intercept
for x=0
y=11
so
b=11
y=(11/5)x+11

the answer is
y=(11/5)x+11

see the attached figure

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