SOLUTION: Find the x- and y- intercepts for the equation. Show all of your work. Then graph the equation, -x + 2y = 4. Checking to see if I worked this problem correctly.

Algebra ->  Linear-equations -> SOLUTION: Find the x- and y- intercepts for the equation. Show all of your work. Then graph the equation, -x + 2y = 4. Checking to see if I worked this problem correctly.      Log On


   

Question 474335: Find the x- and y- intercepts for the equation. Show all of your work. Then graph the equation, -x + 2y = 4. Checking to see if I worked this problem correctly.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation -1+x+%2B+2+y+=+4 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+--1%2F2.
  • 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 4/2 = 2.
  • Slope is --1/2 = 0.5.
  • Equation in slope-intercept form: y=0.5*x+2.
graph%28+500%2C+500%2C+-4-8%2C+-4%2B8%2C+2-8%2C+2%2B8%2C+0.5%2Ax%2B2+%29+
..