SOLUTION: Find x and y intercepts and graph. 4x-3y=6

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Question 630259: Find x and y intercepts and graph. 4x-3y=6
Found 2 solutions by dfrazzetto, 55305:
Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!
4x-3y=6
Slope intercept form:
-3y = -4x + 6
y = 4x/3 - 2
x intercept:
4x - 3(0) = 6
4x = 6; x = 3/2
y intercept:
4(0) - 3y = 6
-3y = 6; y = -2
+graph%28+800%2C+800%2C+-10%2C+10%2C+-10%2C+10%2C+4x%2F3+-+2%29+

Answer by 55305(86) About Me  (Show Source):
You can put this solution on YOUR website!
To find the x intercept of the line, we set y equal to 0. So if y=0, then x must be equal to 3/2. To find the y intercept, we need to set x equal to 0. So that means y will be equal to -2. Here is a graph:
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 4+x+%2B+-3+y+=+6 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-4%2F-3.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 6/4 = 1.5.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 6/-3 = -2.
  • Slope is -4/-3 = 1.33333333333333.
  • Equation in slope-intercept form: y=1.33333333333333*x+-2.
graph%28+500%2C+500%2C+1.5-8%2C+1.5%2B8%2C+-2-8%2C+-2%2B8%2C+1.33333333333333%2Ax%2B-2+%29+