SOLUTION: For the line 2x-y=8 a) what is the x- intercept of the line? what is the y-intercept of the line? b) What is the slope of the line? c)Graph the line on a Cartesian coordin

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Question 8024: For the line 2x-y=8
a) what is the x- intercept of the line?
what is the y-intercept of the line?
b) What is the slope of the line?
c)Graph the line on a Cartesian coordinate plane.
d) Where does the graph of the line x + y = 7 intersect the graph of the given line?
e) Solve the system of equations created by using the equation 3x- 2y = 13 and the given line.
f) Graph the system of inequalities :
2x-y greater than or equal to 8
x+ y less than 7
Answer by ichudov(507)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 8/2 = 4.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 8/-1 = -8.
  • Slope is -2/-1 = 2.
  • Equation in slope-intercept form: y=2*x+-8.
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