SOLUTION: Change the equation, x - y = 4 to form y = mx + b

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Change the equation, x - y = 4 to form y = mx + b      Log On


   

Question 161023: Change the equation, x - y = 4 to form y = mx + b
Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
x - y = 4
y = mx + b
The first step we need to do is isolate the y term
add-x to both sides
-y=-x+4
Divide all terms by -1
y=x-4 m = the coefficient of x=1
b=-4

Therefore the equation is y=x-4
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 1+x+%2B+-1+y+=+4 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-1%2F-1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 4/1 = 4.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 4/-1 = -4.
  • Slope is -1/-1 = 1.
  • Equation in slope-intercept form: y=1*x+-4.
graph%28+500%2C+500%2C+4-8%2C+4%2B8%2C+-4-8%2C+-4%2B8%2C+1%2Ax%2B-4+%29+