Need help with writing an equation of the line that passes through the given points.

f(4)=-8, f(-3)=1

2 answers

when x = 4, y = -8

when x = -3 , y = 1

so as y goes up 9 from -8 to +1
x goes down 7 from 4 to -3

so slope = 9/-7 = -9/7

so it is of form
y = (-9/7) x + b

to find b, use one of those points
when x = -3, y = 1 is easy
1 = (-9/7) (-3) + b
1 = 27/7 + b
b = 7/7 -27/7 = -20/7
so in he end
y = (-9/7) x -20/7
or
7 y = -9 x -20
or
9 x + 7 y = 20
9 x + 7 y = -20
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