SOLUTION: Write an equation of the line passing through (−1,−8.4) and (4,−1.4) . in the form of A x + B y = C

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line passing through (−1,−8.4) and (4,−1.4) . in the form of A x + B y = C      Log On


   

Question 997947: Write an equation of the line passing through (−1,−8.4) and (4,−1.4) .
in the form of
A x + B y = C
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (-1, -8.4) and (x2, y2) = (4, -1.4).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%28-1.4--8.4%29%2F%284--1%29+=+1.4.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or 1.4%2A-1+%2Bb+=+-7. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=-8.4-1.4%2A-1+=+-7.

y=(1.4)x + (-7)

Your graph:





in the form of
Ax+%2B+By++=+C will be
-1.4x%2By=+-7