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Find the $x$ - and $y$ -intercepts of the equation.$$y+3 x=-6$$...

Question

Find the $x$ - and $y$ -intercepts of the equation.$$y+3 x=-6$$

Find the $x$ - and $y$ -intercepts of the equation. $$y+3 x=-6$$



Answers

Find the $x$ - and $y$ -intercepts of the equation. $$y+3 x=-6$$

We have given an equation. Two X plus three y is equal to six. Let's number. The situation is one now. Clearly, the equation represents Elaine so defined. The X intercept for the given equation will put why equal to zero in the first equation So we'll get two X plus three multiplied by zero is equal to six, which will give us that X is equal to three, which means the X intercept is at +30 Now to find the vie intercept, well put X equal toe zero in the first equation on get to multiply by zero plus three by is equal to six, which will give us three. Y is equal to six. Which gives us that why is equal to toe. So the Y in deceptive is zero to now let's block the line on the intercepts on a graph now From the graph, it is clear that this line represents the equation. Two X plus three y is equal to six with the intercepts The X intercept at +30 on Divine Deceptive at zero to

Okay, we have this equation and we're going to find the X intercept and the Y intercept and draw the graph. Ah, Y intercept always has an ex coordinated zero. So if you're going to find the Y intercept, you can substitute zero in for X. So we have three y equals negative, six times zero plus three negative. Six times zero is zero. So we have three y equals three, and we can divide both sides of that equation by three, and we get y equals one. So the Y intercept is the 0.1 for the X intercept. An X intercept always has a white coordinative zero. So we substitute zero in for Why? So we have three times zero equals negative six X plus three. So that would be zero equals negative six x plus three. We could add six extra both sides of the equation and then divide by six and we get X equals 1/2. So the X intercept is the point 1/2 comma zero. So now for the graph, let's plot the y intercept as your one. Let's put the X intercept at 1/2 0 and then we draw a line through those points

When this problem we have X plus two y is equal six when we want to find our X intercept or why intercept and graphic? Not so with the axe. Intercept the X intercept of anything you put in zero for why? And then solve it for X going zero for Why two times a rose just zero says just Does this x equal? Six. Let's or X intercept is six comma zero. We found X was six and we put in zero for y. And so that means we have the 00.60 for Why intercept? We put in zero for Exxon, Winer said. We have zero plus two times Why equal six. So too. Why is six? And so we get wise three. So we plugged in, zero for X. We had three back for why? And so that means our y intercept 03 No autograph this. You need to points to draft a line. We don't wear X intercept at 60 So it'll right six and up and down. Zero. We know why. Intercepted 03 So the left and right zero and go up three. And then once we have these points, we just need to draw the line between them. And so that's what our line should look like.

To find the Y intercept. We're plugging in zero for X notice. If you do that here we just replace X with zero. You're just left with three y equal six. Get Why by itself you divide both sides by three. So we're left with y equals two. That means they're X intercept is at zero comma to now to find the X intercept here would be plugging in zero For why Now? You may notice that if you plug in zero for why that turns the whole term to zero. So we're just left with X equal six. That means our X intercept is at six. Common zero.


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