Question 671693
Find the equation of the line passing through the given points. write the equation in function notation. (2,-8) and (-4,-3)
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Equation of a line: f(x)=mx+b, m=slope, b=y-intercept
slope=∆y/∆x
=(-8-(-3))/(2-(-4))
=(-8+3)/(2+4)
m=-5/6
Equation:
f(x)=-5x/6+b
solve for b using coordinates of one of given points (2,-8)
-8=-5*2/6+b
-48=-10+6b
6b=-38
b=-38/6=-19/3
Equation:
f(x)=-5x/6-19/3