SOLUTION: 5. Fill in the chart given this linear equation: x + 7y = 4. Type all your work below the chart. x | y ___________|___________ -2 | ___________|__________

Algebra ->  Graphs -> SOLUTION: 5. Fill in the chart given this linear equation: x + 7y = 4. Type all your work below the chart. x | y ___________|___________ -2 | ___________|__________      Log On


   

Question 160584: 5. Fill in the chart given this linear equation:
x + 7y = 4.
Type all your work below the chart.
x | y
___________|____________
-2 |
___________|_____________
-1 |
___________|_____________
0 |
___________|_____________
1 |
___________|_____________
2 |
___________|_____________
Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
x + 7y = 4.
Type all your work below the chart.
x | y
___________|____________
-2 | 6/7
___________|_____________ y=4-x/7 Rearrange the equation to isolate y
-1 | 5/7
___________|_____________ You also need to remember how to deal with
signed numbers Multiplying a neg and net =+
0 | 4/7
___________|_____________
1 | 3/7
___________|_____________
2 | 2/7
___________|_____________

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 1+x+%2B+7+y+=+4 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-1%2F7.
  • 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 4/7 = 0.571428571428571.
  • Slope is -1/7 = -0.142857142857143.
  • Equation in slope-intercept form: y=-0.142857142857143*x+0.571428571428571.