SOLUTION: Find an equation of the line. Write the equation using function notation. Through (10,-52) and (2,-4)

Algebra ->  Equations -> SOLUTION: Find an equation of the line. Write the equation using function notation. Through (10,-52) and (2,-4)      Log On


   



Question 400016: Find an equation of the line. Write the equation using function notation.
Through (10,-52) and (2,-4)

Found 2 solutions by MathLover1, solver91311:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: FIND EQUATION of straight line given 2 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) = (10, -52) and (x2, y2) = (2, -4).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%28-4--52%29%2F%282-10%29+=+-6.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -6%2A10+%2Bb+=+8. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=-52--6%2A10+=+8.

y=(-6)x + (8)

Your graph:




your equation is:
f%28x%29=-6x+%2B+8

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the two-point form of an equation of a line:



where and are the coordinates of the given points.

Do the indicated arithmetic and then solve the equation for in terms of everything else so that the equation is in the slope-intercept form, . Finally replace with

John

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