SOLUTION: Graph the equation and identify the y-intercept. y= 2/3x-5

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Question 450502: Graph the equation and identify the y-intercept.
y= 2/3x-5
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
y=2/3x-5
3y=2x-15
2x-3y=15
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 2+x+%2B+-3+y+=+15 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-2%2F-3.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 15/2 = 7.5.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 15/-3 = -5.
  • Slope is -2/-3 = 0.666666666666667.
  • Equation in slope-intercept form: y=0.666666666666667*x+-5.
graph%28+500%2C+500%2C+7.5-8%2C+7.5%2B8%2C+-5-8%2C+-5%2B8%2C+0.666666666666667%2Ax%2B-5+%29+
.