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Question 38010: solve graphically ans algebraically:
-2x+3y=6
3x+y=2
write the equation for a solutionline that has points (4,1) and (-2,4)
what ordered pair is the y-intercept and the x-intercept of the linear equation 2x+3y=6
Answer by lyra(94)   (Show Source):
You can put this solution on YOUR website! Please only put ONE question in each submission!!! I will answer your first question.
By algebra:
| Solved by pluggable solver: SOLVE linear system by SUBSTITUTION |
Solve:
 We'll use substitution. After moving 3*y to the right, we get:
 , or  . Substitute that
into another equation:
 and simplify: So, we know that y=2. Since , x=0.
Answer:  .
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By graphing
| 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. 6/-2 = -3.
- 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 --2/3 = 0.666666666666667.
- Equation in slope-intercept form: y=0.666666666666667*x+2.
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| 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. 2/3 = 0.666666666666667.
- Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 2/1 = 2.
- Slope is -3/1 = -3.
- Equation in slope-intercept form: y=-3*x+2.
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Hope this helps and feel free to contact me with further questions,
lyra
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