SOLUTION: Graph each equation. Plot at least five points for each equation.
x-2y=6
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Question 202302: Graph each equation. Plot at least five points for each equation.
x-2y=6
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.
Subtract from both sides.
Rearrange the terms.
Divide both sides by to isolate y.
Break up the fraction.
Reduce.
Looking at we can see that the equation is in slope-intercept form where the slope is and the y-intercept is
Since this tells us that the y-intercept is
.Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
Also, because the slope is , this means:
which shows us that the rise is 1 and the run is 2. This means that to go from point to point, we can go up 1 and over 2
So starting at
, go up 1 unit
and to the right 2 units to get to the next point
Now draw a line through these points to graph
So this is the graph of through the points
and
Note: if you need more points, simply pick random x values to find the corresponding y values.
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