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ivolga24 [154]
3 years ago
13

Graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=x-6

Mathematics
1 answer:
nata0808 [166]3 years ago
6 0

Answer:

Step-by-step explanation:                               x - 6

The given equation can be re-written as y = ---------                              

                                                                             -3

Arbitrarily choose x = 0.  Then:

      x - 6         0-6

y = --------- = ----------- = 2, so (0, 2) is a point on the graph which is also the                              

          -3            -3                                                                  y-intercept

Arbitrarily choose x = 6.  Then y = 0, and (6, 0) is another point on the graph                                    

                                                              which happens to be the x-intercept

arbitrarily choose x = 12.  Then y = (12 - 6) / (-3) = -2.  Then  (12, -2) is            

                                                                                  another point on the

                                                                                  graph.

Plot (12, -2), (6, 0) and (0, 2).  Draw a line through these three points.

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\huge{\boxed{y=-\frac{5}{6} x+4}}

Parallel lines share the same slope, so the slope of the parallel line in this case must be -\frac{5}{6}.

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