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Question 148193: Graph and Solve:
equation: 5x+3y=30
3 points:
slope:
x intercept:
y intercept:
Found 2 solutions by mangopeeler07, josmiceli:
Answer by mangopeeler07(462)   (Show Source):
You can put this solution on YOUR website! equation: 5x+3y=30
slope intercept form: y=-5/3x+10
y=mx+b, where mx=slope and b=y-intercept.
slope: -5/3x
y intercept: 10
To find x-intercept, plug in zero for y.
y=-5/3x+10
0=-5/3x+10
Solve for x and get 6.
x-intercept=6
Three points: you already have two of the intercepts, you just need to find a third point.
plug in random value for x or y in the standard form or the y=mx+b form. How about x=2? 5(2)+3y=30 10+3y=30 3y=20 y=20/3.
Three points: (0,10) (6,0) (2, 20/3)
equation: 5x+3y=30
3 points: (0,10) (6,0) (2, 20/3)
slope: -5/3x
x intercept: 6
y intercept: 10
Graph:
| 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. 30/5 = 6.
- Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 30/3 = 10.
- Slope is -5/3 = -1.66666666666667.
- Equation in slope-intercept form: y=-1.66666666666667*x+10.
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Answer by josmiceli(19441)  (Show Source):
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