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Find the slope and the $y$ -intercept of the lines determined by the given equations.$$x= rac{2 y-4}{7}$$...

Question

Find the slope and the $y$ -intercept of the lines determined by the given equations.$$x= rac{2 y-4}{7}$$

Find the slope and the $y$ -intercept of the lines determined by the given equations. $$x=\frac{2 y-4}{7}$$



Answers

Find the slope and the $y$ -intercept of the lines determined by the given equations. $$x=\frac{2 y-4}{7}$$

Okay. This problem gives us the equation. Y equals negative 1/2 X plus seven. And it just asked us to find the slope in the wine or so s o. The slope is just the number in front of X when it's in this form. So the form would be like, Why equals MX plus B m is the slopes of the slope. Here is negative one hand. But this means as ex decreases why increases but two are as ex decreases by one. Why increases by two on our slow and our why intercept is a seven or a bee value of seven, which indicates that our why Ander said to be at the 70.0, so Okay, thank you.

So you're given the equation two X plus y equals seven and you're being Astra identified to slope in the Y intercept. Well, first of all, in order to do that, you're supposed to have wide by itself, and you need tohave the MX your way. Intercept on one side. So in this case, I already have a why here. But this toe X, I don't need it there. So to move it, I'm just going to subtract on both sides and I can rewrite this ass. Why equals negative two x? There's no sign in front of the seven, So it's plus seven. So now from here, I can identify. This is my slope, and this is my y Intercept. So, slope this negative two and my y intercept IHS several comma seven.

So you are given the following equation for X minus seven. Why equals 28 again? You're cool. Nous tohave the equation in this form y equals mx plus B, but you don't have it yet. So one thing to do is to get rid of this for X, because you wonder why alone? So you do that to both sides. So then you can rewrite. Remember to bring down the negative, so it's negative. Seven. Why equals negative for X Plus 28? Since there's no sign in front of the 28 it's a positive sort. It's plus and my last step would be to divide by negative seven so that the wise by itself. So my question is, why equals remember negatively right away and negative is positive. And then you have positives. Weight of Orion. Negative. So that's negative for external anybody before ISS. I mean 20 divided by seven. It's four. So now I know this is my m When this is my be so then that means my slope, this 4/7 my wine or sick this sero negative for remember because I have this negative and the front it's gonna make this a negative for

So I have given the equation two y plus for equal seven. So why plus four equals Negative seven again. Remember, I need to have my equation in the form y equals MX plus B in order to find this folk in the y intercept. In this case, No, I need to leave the y by itself. So I need to subtract four from both sides. So this is going to become too. Why eak wars? I think it it 11 because they're both negatives. Like you just add to live the way loaning to divide. So then my equation is why equals negative 11 over to this means Now that I could write this us y equals zero x because I don't have an X minus 11 over to. So then that means this is my M Then this is my B on a slow The Cyril my wife intercept is zero Megadeth 11 Hafs


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