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Find the slope and y-intercept of each line. Graph the line.$$y=2 x+ rac{1}{2}$$...

Question

Find the slope and y-intercept of each line. Graph the line.$$y=2 x+ rac{1}{2}$$

Find the slope and y-intercept of each line. Graph the line. $$ y=2 x+\frac{1}{2} $$



Answers

Find the slope and y-intercept of each line. Graph the line. $$ y=2 x+\frac{1}{2} $$

I'm gonna turn this equation and intercept form our slope intercept form. So easiest way to do that is to subtract 1/2 X from both sides and subtract that one from both sides. Next, I'm gonna multiply everything by negative three. That's the reciprocal here in that will cancel out negative three times. Negative one Thursday's positive one. So negative. Three times negative. 1/2 is three halfs and negative. Three times negative. One is positive. Three. So now we can see that the slope of this equation is three halfs and the Y intercept is three. Alright, that's enough information to graph. This is well, why intercept? 123 Right there. Slopes three halfs. Meaning up. 123 Right to or down 123 left to line through all those points and we're done.

According to good question, we have a nationwide the weather by do it quick X minus one So we can write this as like or go to X minus two. Now we feel compared This it the equation slope in the street from which is why I will do, um X plus e We can see there Slope musical to toe. And why in the subsea is equal to minus two? So that means it has slow and my intercepted this. So based on this, we can say that since why does it taste minus two? So this is the point. It is zero comma minus two. This is the Y intercept. Now they're slope is to We need to find the other point on X axis so that we can grow the grass here on X axis Y is equal to zero so that we can say that two X minus two is equal to zero. Here to X is according to so which gives exit According to one that means another point is one comma zero. So this is another point so we can draw draw the line like this The graph which is passing through these two points. You hear that? My Y intercept is minus two and the slope of the line is too

According to the question we have the line in question is why, according to actually write it by two plus two. So if you compare this with the General Slope intercept form, that is why I could do an X plus e. We can say they're Slope Emmys Acquittal one divided by two. And why intercept season call toe so we can plot the point. This is why in this a pistol. So this is zero Comotto point. It is so ingrained acceptance to know in order to draw the graph, we need another point. So on X axis, why is it called to zero? So that means we can say that zero record two x divided like two plus two. Here they're living exabyte divided by 24 to minus two, which is giving excess Ricardo minus four so that miss another point is minus or coma little. So this is minus four comma zero. Now way need to draw the graph to will join these two points like this The graph off the line which is passing through these two points and hear Why intercept this too? And the slope off the line is one divided by two

According to your own question, we have the line equation X plus two y is equal to four we can hear in this s who is goingto minor sex class For that divide both sides by two This political why is equal to minus one divided by two X plus four divided by two electric and I don't like or two minus one divided by do it plus four divided by two is toe. Now, if you compare this with the general sloping doesn't form which is why you called toe mx plus c We can say that Strope is and this is equal to minus one divided by two. And why in desert is see and this is equal to two. So we have the think when interceptors to that means this is the point on this line is person for this zero comma to point Now we need another going to draw the line glass. So here we left. When Why is it called a zero? We can exhibit a good two minus X divided by two less So that means the world by two equal toe that is giving x equal to two might have led with two, which is four. That means we have another point. Is four comma zero. So this is the point for comma zero. Now we'll join these two points so that will get the graph. Is the graph off the line, which is passing through zero comma two and four comma zero here Y intercept is too on a slope of the line is minus one, divided by two.


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