SOLUTION: find x-intercept and y- intercept and graph 3x-2y+8=0

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Question 213877: find x-intercept and y- intercept and graph
3x-2y+8=0
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Find x-intercept and y- intercept and graph

3x-2y%2B8=0

Step 1. x-intercept occurs when y=0 and y-intercept occurs when x=0.

Step 2. So at x=0 then

3%2A0-2y%2B8=0

8=2y

y=4 So y-intercept is 4 at point (0,4)

Step 3. At y=0 then

3x-2%2A0%2B8=0

3x=-8

x=-8%2F3 So x-intercept is -8/3 at point (-8/3,0)

Step 4. Here's the graph and note the x-intercept and y-intercept points on the graph.

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 3+x+%2B+-2+y+=+-8 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-3%2F-2.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -8/3 = -2.66666666666667.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -8/-2 = 4.
  • Slope is -3/-2 = 1.5.
  • Equation in slope-intercept form: y=1.5*x+4.



I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J