SOLUTION: Find the equation whose graph is the red line shown below. Write your answer in standard form. (Standard form is $Ax+By = C$, where $A$ is positive, and $A$, $B$, and $C$ are integ

Algebra ->  Linear-equations -> SOLUTION: Find the equation whose graph is the red line shown below. Write your answer in standard form. (Standard form is $Ax+By = C$, where $A$ is positive, and $A$, $B$, and $C$ are integ      Log On


   



Question 1076770: Find the equation whose graph is the red line shown below. Write your answer in standard form. (Standard form is $Ax+By = C$, where $A$ is positive, and $A$, $B$, and $C$ are integers with greatest common divisor 1.)
Graph can be found at
https://latex.artofproblemsolving.com/7/4/c/74c5df86b7f00975450d79bdc41cd7a1f92e6039.png

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

choose two points on a graph:
as you can see, graph passes through the points
(0,1) and (2,0)
ax%2Bby=c.......use points to find a, b, and c
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) = (0, 1) and (x2, y2) = (2, 0).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%280-1%29%2F%282-0%29+=+-0.5.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -0.5%2A0+%2Bb+=+1. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=1--0.5%2A0+=+1.

y=(-0.5)x + (1)

Your graph:




so, your equation is:
y=-0.5x+%2B+1
and in standard form it will be 0.5x%2By=1