What are the intercepts of -y=3y-6x-9?

1 Answer
Apr 12, 2016

y-intercept is (0,2.25)

x-intercept is (-1.5,0)

Explanation:

The y-intercept is the point where the line cuts the y-axis.
This means, we have to find the point when x=0.

Similarly, the x-intercept is the point where the line cuts the x-axis. i.e. to find the point when y=0.

Pretty simple.

Here, first let's write the equation in terms of y.

-y=3y-6x-9

=>-3y-y=-6x-9

Multiply both sides by -1

=>3y+y=6x+9

=>4y=6x+9

=>y=(6x+9)/4

Below is a step-by-step to work out the y-intercept and x-intercept .

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The graph shows the line cutting the two axes.