SOLUTION: find the gradient of the line 2y - 3x = 5, and draw the line on a graph paper

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Question 161943: find the gradient of the line 2y - 3x = 5, and draw the line on a graph paper
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Add to both sides.


Rearrange the terms.


Divide both sides by to isolate y.


Break up the fraction.


Reduce.


So the equation is now in slope intercept form where the slope (ie gradient) 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 which is (0,2.5)




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 3 and the run is 2. This means that to go from point to point, we can go up 3 and over 2



So starting at , go up 3 units


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
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