SOLUTION: Find the equation of the line passing through the given points. write the equation in function notation. (2,-8) and (-4,-3)

Question 671693: Find the equation of the line passing through the given points. write the equation in function notation. (2,-8) and (-4,-3)
Found 2 solutions by lwsshak3, ReadingBoosters:
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the equation of the line passing through the given points. write the equation in function notation. (2,-8) and (-4,-3)
**
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
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Start with finding the slope
...
slope =
...
Use either coordinate and the slope to solve for b, y-intercept
-8 = (2) + b
-8 = + b
b = -8 + =
...
Confirm using the other coordinate
y = (-4) +
y =
That's correct! (-4, -3)
...
So the equation for the line is...
y = x -
written as a function

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