SOLUTION: use x- and y intercepts to draw the graph for 3x - y = 6

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Question 213723This question is from textbook algebra one interactions course 2
: use x- and y intercepts to draw the graph for 3x - y = 6 This question is from textbook algebra one interactions course 2

Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
Use x- and y intercepts to draw the graph for 3x - y = 6

Step 1. The y-intercept occurs when x=0. We have

3%2A0-y=6

y=-6 so we have (0,-6) as one point on the line

Step 2. The x-intercept occurs when y=0. We have

3x-0=6

{{x=2}}} so we have (2,0) as another point on the line.

Step 3. Using these points, we can graph as follows:

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 3+x+%2B+-1+y+=+6 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-3%2F-1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 6/3 = 2.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 6/-1 = -6.
  • Slope is -3/-1 = 3.
  • Equation in slope-intercept form: y=3*x+-6.
graph%28+500%2C+500%2C+2-8%2C+2%2B8%2C+-6-8%2C+-6%2B8%2C+3%2Ax%2B-6+%29+



Step 4. Observe the points (2,0) and (0,-6) that are on the line and how it intercepts the axis.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J