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I need help if you don't mind. I have to graph the linear equation using intercepts.

I need help if you don't mind. I have to graph the linear equation using intercepts-example-1
User Popolvar
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Graph of linear equations

We want to find the places where the line

2x - 3y = 12

intercepts y-axis and x- axis

y- intercept

When the line intercepts y axis, we know that x=0, we replace it in the equation so we can find y value:

2x - 3y = 12

2 · 0 - 3y = 12

0 - 3y = 12

-3y = 12

y = 12 / -3

y = -4

x - intercept

In the same way, we find the interception with x- axis when y = 0. We find the value of x replacing y by 0 in the equation:

2x - 3y = 12

2x - 3 · 0 = 12

2x - 0 = 12

2x=12

x = 12 / 2

x = 6

Graph

We locate both points: y = -4 and x = 6:

Finally, we join the points with a straight line

I need help if you don't mind. I have to graph the linear equation using intercepts-example-1
I need help if you don't mind. I have to graph the linear equation using intercepts-example-2
User Peter Dolan
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