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Ex 5) Find the x-intercept and y-intercept of the graph 2x - 3y = -12. Thengraph the equation

User Gkoul
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1 Answer

19 votes
19 votes

The given equation is


2x-3y=-12

This is a linear equation, which must have a y-intercept and x-intercept.

To find x-intercept we just need to replace y=0 in the equation


2x-3(0)=-12

Then, we solve for x


2x-0=-12\rightarrow2x=-12

Finally, we divide by 2


(2x)/(2)=(-12)/(2)\rightarrow x=-6

This means the x-intercept is at (-6,0).

On the other hand, to find y-intercept we need to replace x=0 in the equation


2(0)-3y=-12

Then, we solve for y


-3y=-12

At last, we divide by -3


(-3y)/(-3)=(-12)/(-3)

So,


y=4

Therefore, the y-intercept is at (0,4).

To graph the function, we just need to graph each axis intercept and draw the line.

Ex 5) Find the x-intercept and y-intercept of the graph 2x - 3y = -12. Thengraph the-example-1
User Ccamara
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