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Find the x-intercept and y-int erc 7x-3y=21

User Bruck
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Alright, let's break this down step by step.

Firstly, the concepts you need to understand are the x-intercept and the y-intercept. These are the points where the function crosses the x-axis or the y-axis, respectively. For the x-intercept, this is where the function equals 0 in the y-value. On the other hand, the y-intercept is where the function has a value of 0 in the x-value.

Now let's solve for each.

For the x-intercept, we'll set y = 0 in the equation and solve for x.

The formula is: 7x - 3*0 = 21

This simplifies to: 7x = 21

Divide 21 by 7 and we get x = 3

So, the x-intercept for this function is 3.

Next, let's find the y-intercept by setting x = 0 in the equation and solving for y.

The formula we'll use now is: 7*0 - 3y = 21

This simplifies to: -3y = 21

Divide -21 by 3 and we get y = -7

So, the y-intercept for this function is -7.

In summary, the x-intercept is 3 and the y-intercept is -7.

User Morio
by
8.1k points

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