Question 163642: GRAPH THE FOLLOWING EQUATIONS; CALCULATE THE SLOPE, X-INTERCEPT, AND Y-INTERCEPT, AND LABEL THE INTERCEPTS ON THE GRAPH.
1. y = x + 3
2. y = -2x - 7
3. 2x + 3y = 9
Answer by KnightOwlTutor(293)   (Show Source):
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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. -7/2 = -3.5.
- Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -7/1 = -7.
- Slope is -2/1 = -2.
- Equation in slope-intercept form: y=-2*x+-7.
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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. 3/-1 = -3.
- Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 3/1 = 3.
- Slope is --1/1 = 1.
- Equation in slope-intercept form: y=1*x+3.
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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. 9/2 = 4.5.
- Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 9/3 = 3.
- Slope is -2/3 = -0.666666666666667.
- Equation in slope-intercept form: y=-0.666666666666667*x+3.
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